Question

Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9? (1 point)

6 over 25

36 over 25

12 over 5

252 over 5

Answer 1

36/25 is the answer

Answer 2

Option b) 36 over 25 is correct

That is given expression is equivalent to
`(36)/(25)`

Explanation:

Given expression can be written as below:

`((7* 3* 2)/(7* 5))^2* (7^0)/(5^(-3))* 5^(-9)`

To find the value of given expression:

`((7* 3* 2)/(7* 5))^2* (7^0)/(5^(-3))* 5^(-9)=((6)/(5))^2* ((1)/(5^(-3)))^3* (1)/(5^9)`

`=((6)/(5))^2* (5^3)^3* (1)/(5^9)`

`=(36)/(25)* 5^9* (1)/(5^9)`

`=(36)/(25)`

Therefore
`((7* 3* 2)/(7* 5))^2* (7^0)/(5^(-3))* 5^(-9)=(36)/(25)`

Option b) 36 over 25 is correct

That is given expression is equivalent to
`(36)/(25)`