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.
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Answer:
first number= 19/5
second number= 2/5
Step-by-step explanation:
first number= a
second number= b
a+3b=5 equation 1
b+2a=8 equation 2
using equation 2 we have
b=8-2a
using equation 1 we have
a+3(8-2a)=5
a+24-6a=5
24-5=6a-a
19=5a
a=19/5 = first number
so using b=8-2a
we have
b=8-2(19/5)
b=8-(38/5)
b=2/5 = second number
Answer:
r=12.5 units
Step-by-step explanation:
Well assuming that DM means diameter of a circle, then r should be the radius of the circle.
Diameter of a circle is twice the radius of the circle, hence with the value of Diameter, you should half it to get the value of radius.
Given diameter =25
Radius will be= 25/2 = 12.5 units