Rule:
(xᵃ)ᵇ = x⁽ᵃ * ᵇ⁾
(x⁴)³ = x⁽⁴ * ³⁾ = x¹²
The simplified form of the given expression is needed.
The simplified form of the given expression is [tex]x^{12}[/tex]
ExponentsExponents are useful to condense a multiplication operation just by showing how many times to use the number in a multiplication.
The given term is [tex](x^4)^3[/tex]
It can be written as
[tex](x\times x\times x\times x)^3[/tex]
[tex]=(x\times x\times x\times x)(x\times x\times x\times x)(x\times x\times x\times x)[/tex]
[tex]=x^{12}[/tex]
or
[tex](x^4)^3=x^{4\times 3}=x^{12}[/tex]
Because [tex](x^a)^b=x^{a\times b}[/tex]
Learn more about exponents:
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can anyone help pls rlly ez
Answer:
b and c
Step-by-step explanation:
the answer is b and c
What point is located at (-3, 3)?
point C
point A
point D
point B
convert -√3-i to polar form
Answer:
r
sin
θ
=
−
3
Step-by-step explanation:
,
Answer:
2cis (7pi/6)
Step-by-step explanation:
Please help due today
Answer:
tengo
Step-by-step explanation:
Answer:
your answer is No tengo lapices. YO tengo que comprar (buy) unos.
Step-by-step explanation:your answer is tengo
What is 4/5 times 7/12
Answer:
[tex]\frac{28}{60}[/tex]([tex]\frac{7}{15}[/tex])
Step-by-step explanation:
b/c 4/5*7/12
means 4*7 and 5*12
then28/60
hope it's helpful
THANK YOU.
A scale drawing of an office space uses a scale of 1 in : 5 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space
Answer:
60 Yards.
Step-by-step explanation:
Ooooooooo Proportion question!
We can write an equivalent fraction here:
[tex]\frac{1}{5} =\frac{12}{x}[/tex]
Because 12 wold be equivalent to the 1 inches.
We can multiply by 12 because 1*12 would be 12.
5*12=60.
x=60, which is the answer.
Mary and Will rent a tandem bike for $10/hr. Which value is the
dependent variable? Which is the independent variable? Write an
equation to represent the relationship between the number of
hours, h, and the total cost, c.
Answer:
Step-by-step explanation:
c = 10h
h is the independent variable.
c is the dependent variable.
W PLZ PLZ P_LZ HELP MEEEEEEEEEEEEEE
which figure of speech provides evidence for a comparison throughout an entire poem?
1.an anaphora
2.a juxtaposition
3.an extended metaphor
4.a long-form simile
Answer:
An extended metaphor
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
plzzzzz help me I need help with this I'll give brainiest to CORRECT answer and the smartest answer
Answer:
The answer is A
Step-by-step explanation:
Use the distributive property to produce an equivalent expression. 4(y – 2) help asap
which expression is equivalent to 3{x+11}?
Answer:
3x + 33
Step-by-step explanation:
By using the distributive property, 3{x + 11} = 3x + 33
repost of my question i need help quicklyy help plzz
Answer:
According to logarithmic properties.... The right hand side can be written as
log base 7 (180/3).....which is log base 7 60
So according to the question cancel out the log base 7 from both sides....
Then we get 8r + 20 = 60
That is 8r = 40..
That is r = 5......
Therefore the value of r is 5
hurry please!
Choose the number that is rational.
A. √20
B. √32
C. √45
D. √64
By rational it means that which number can be expressed as a fraction, let's simplify and check each one.
Sqrt20=2*sqrt5
sqrt 5 is irrational
sqrt32=4sqrt2
sqrt2 is irrational
sqrt45=3sqrt5
sqrt5 is irrational
sqrt64=8
8 is rational!
solve this problem as a fraction in the lowest terms
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex] is the answer
Step-by-step explanation:
you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]
Just solve Ex: 16, 17, 19, 20 please! I don't know them
Answer:
The order of arithmetic calculations is
B - Bracket
O - off
D - Division
M - Multiplication
A - Addition
S - Subtraction
Use this to solve
4(v+7) = -6(3v-4) +8v
Answer:
v=−27
Step-by-step explanation:
Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.
−6(3v−4)+8v=4(v+7)
Simplify −6(3v−4)+8v
−10v+24=4(v+7)
Simplify 4(v+7).
−10v+24=4v+28
Move all terms containing v to the left side of the equation.
−14v+24=28
Move all terms not containing v to the right side of the equation.
−14v=4
Divide each term by −14 and simplify.
v=−27
The result can be shown in multiple forms.
Exact Form:
v=−27
Ive worked out a bit, i just need help finishing it off. Will reward
Answer:
nxkankankxnalmzlamzlamzo
Answer:
width = 40 cm
Step-by-step explanation:
Since the pentagons are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{4x}{x}[/tex] = [tex]\frac{48}{x+2}[/tex] ( cross- multiply )
4x(x + 2) = 48x ← distribute left side
4x² + 8x = 48x ( subtract 48x from both sides )
4x² - 40x = 0 ← factor out 4x from each term on left side
4x(x - 10) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 10 = 0 ⇒ x = 10
However, x > 0 then x = 10
Thus width = 4x = 4 × 10 = 40 cm
Why is subtracting an expression similar to distributing a –1?
You increase each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
You multiply each term inside the parentheses by –1 in order to add each term, since subtraction is the multiplicative inverse.
You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the multiplicative inverse.
You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
Using the distributive property, distributing -1 ; multiplies each term in the parenthesis by a negative sign. Hence, it is similar to subtraction because You multiply each term inside the parentheses by –1 in order to subtract each term, since subtraction is the additive inverse.
The additive inverse of a value is the value which ensures that the addition of two values gives 0.
Using the relation :
(w + x) - (y + z)
The negative sign implies distributing -1 to all values in the parenthesis ;
w + x - y - z
Hence, it is similar to using the subtraction operation directly :
(w + x) - y - z
Therefore, subtraction ls similar to distributing - 1
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Renting a tool form Store A costs $9.75 per hour plus a fee of $188.55. Renting the same tool
form Store B costs $15.99 per hour with no additional fee. Which inequality could be
used to
find the minimum number of hours, h, a tool must be rented so that the cost of renting the tool
at Store A is less then the renting it at Sore B?
F 188.55 > 15.99 + 9.75h
G 15.99h > 188.55 + 9.75h
H 9.75h < 188.55 + 15.99h
J 15.99h < 188.55h + 9.75
Answer:
G 15.99h > 188.55 + 9.75h
Step-by-step explanation:
HELP! WILL GIVE 100 POINTS
Complete the following statement.
In 5/6 ÷ 4/5 the___is 4/5
divided
divisor
quotient
.
Answer:
divisor
Step-by-step explanation:
In 5/6 ÷ 4/5 the divisor is 4/5
What is the mode of the data?
A) 9
B) 12
C)26
D) 35
Answer:
c)26 or positive and negative
This year I caught 30 fish, which is 6 more than twice the number I caught last year. How many did I catch last year
A cyclist averages 11 miles per hour. How many miles does the cyclist ride in 4.5 hours?
PLS HELP ME ON THIS PLSSSS
Answer:
Step-by-step explanation:
whats the slope for this added picture
Answer:
m=2
Step-by-step explanation:
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at? Include the steps you used to solve the problem and your answer
Answer:
3%
Step-by-step explanation:
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?
This is a simple interest question
The formula to find the rate is given as:
Equation:
r = (1/t)(A/P - 1)
t = time = 4 years
P = Principal = $12500
I = Simple Interest = $1500
A = Total Amount = Principal + Simple Interest = $12500 + $1500
= $14000
Calculation:
Solving our equation:
r = (1/4)((14000/12500) - 1) = 0.03
r = 0.03
Converting r decimal to R a percentage
R = 0.03 * 100 = 3%/year
You and your cousin go out to eat and you both have the same taste today and order the same item. You both order the $9 item and both have a $2.50 side item. You receive 50% off your entire bill! You then pay 10% tax on your new discounted bill. What does the bill end up costing you without tip?
The bill is $12.65 without a tip.
Answer:
$12.65
Step-by-step explanation:
The total of just you and your cousin's meals would be $23. Then taking 50% off would be $11.50. Lastly, with the 10% tax, that would make it $12.65. Sorry if I get it wrong.
PLEASE HELP ILL GIVE U BRAINIEST
Answer:
C
Step-by-step explanation:
How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?
Answer:
1200 ounces
Step-by-step explanation:
How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?
Let us represent
Number of ounce of 10% copper = x
Hence, our Equation =
x × 10% + 600 × 70% = (x + 600) × 30%
0.1x + 420 = (x + 600)0.3
0.1x + 420 = 0.3x + 180
Collect like terms
0.3x - 0.1x = 420 - 180
0.2x = 240
x = 240/0.2
x = 1200 ounces
What's 676 divided by 13 in long division? I need step by step cause you have to drag the numbers.
Answer: 52
Step-by-step explanation: Not much work with this one but hope this helps :)