Question

Select the equivalent expression
(2^-7 x 5^5) ^2

Answer 1

The equivalent expression is
`1/(2^14) x (5^10).`

Step-by-step explanation:

A mathematical expression is a combination of numbers, variables, operators, and symbols arranged in a meaningful way. It represents a mathematical statement and can be evaluated to produce a numerical result. Expressions can involve arithmetic, algebraic, or other mathematical operations.

To find the equivalent expression, we need to raise each term inside the parentheses to the power of 2.

This means we will square both the base and the exponent.

`(2^-7 x 5^5) ^2`

`= (2^(-7*2)) x (5^(5*2))`

`= (2^-14) x (5^10)`

`= 1/(2^14) x (5^10)`

Therefore, the equivalent expression is
`1/(2^14) x (5^10).`