The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.
<h3>What is an equivalent expression?</h3>
The equivalent is the expression that is in different forms but is equal to the same value.
Five-sevenths squared times one-third raised to the power of negative three all raised to the power of negative one.
Convert the sentence into numerical form.
![\rm \rightarrow \left [ \left (\dfrac{5}{7} \right )^2 \times \left ( \dfrac{1}{3}\right )^{-3} \right ] ^{-1}](https://tex.z-dn.net/?f=%5Crm%20%5Crightarrow%20%5Cleft%20%5B%20%5Cleft%20%28%5Cdfrac%7B5%7D%7B7%7D%20%5Cright%20%29%5E2%20%5Ctimes%20%5Cleft%20%28%20%5Cdfrac%7B1%7D%7B3%7D%5Cright%20%29%5E%7B-3%7D%20%5Cright%20%5D%20%5E%7B-1%7D)
Simplify the expression, then we have
![\rm \rightarrow \left [ \left (\dfrac{7}{5} \right )^{2} \times \left ( \dfrac{1}{3}\right )^{3} \right ]](https://tex.z-dn.net/?f=%5Crm%20%5Crightarrow%20%5Cleft%20%5B%20%5Cleft%20%28%5Cdfrac%7B7%7D%7B5%7D%20%5Cright%20%29%5E%7B2%7D%20%5Ctimes%20%5Cleft%20%28%20%5Cdfrac%7B1%7D%7B3%7D%5Cright%20%29%5E%7B3%7D%20%5Cright%20%5D)
The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.
More about the equivalent link is given below.
brainly.com/question/889935
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<span>The hundredth place is the one with two places to the right of the decimal place. For example in the number 123.4579, five is in the hundredths place.
Therefore, the answer 3.88 + 4.82 + 1.73 correctly shows rounding to the hundredths place. All of the numbers being added together only have two numbers after the decimal. By laws of math, when they are all added together, there will only be two number after the decimal.</span>
Given: y=x^3 and y=343
So, 343=x^3
Cube root both sides which will get rid of the cube on the right side of the equation
You are left with the cube root of 343. Which equals 7.
7*7*7=343
X=7
In total 2/4 + 3/4 = 8/4 x 5 = 25/20 total
2/4 x 5 = 10/20 milk
3/4 x 5 = 15/20 flour
Average rate of change refers to the slope of a function/equation.
To solve this, plug in for both x values and calculate the average, or mean.
x = 1
f(1) = 5(2)^1
= 5(2)
= 10
x = 5
f(5) = 5(2)^5
= 5(32)
= 160
Now, you calculate the average:
10 + 160 = 170
Divide by 2 and you get 85.
