Question

Select All the correct answers

Which expressions are equivalent to this exponential expression?

A. 1/5
B.25
C.52above 5
D.5-1
E.51above 5

Answer 1

B. 25

Explanation:

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Answer 2

OPTION B - 25

Explanation:

We know that:

`$ (a^x)^y = a^(x . y) $`

`$ (a^x)/(a^y) = a^(x - y) $`

`$ a^x . a^y = a^(x + y) $`

The given problem uses these results to arrive at the answer.

`$ (5^2)^(-3) = 5^(2 . (-3)) = 5^(-6) $`

Now,
`$ 5^(-6 + 4) = 5^(-2) $`

Now,
`$ (5^(-2))/(5^(-4)) = 5^(-2 -(-4)) = 5^((-2 + 4)) = 5^2  $`

⇒ 5² = 25.

∴ The answer is 25. (Option B)