Question

Which expression is equivalent to (StartFraction 125 squared Over 125 Superscript four-thirds Baseline EndFraction? StartFraction 1 Over 25 EndFraction One-tenth 10 25

Answer 1

d

Explanation:

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Answer 2

`(125^2)/(125^(4)/(3)) = 25`

Explanation:

Given

`(125^2)/(125^(4)/(3))`

Required

Find an equivalent expression

`(125^2)/(125^(4)/(3))`

Apply the following law of indices;

`(a^m)/(a^n) a^(m-n)`

The expression becomes

`125^{2-(4)/(3)}`

Solve the exponents

`125^{(6-4)/(3)}`

`125^{(2)/(3)}`

Express 125 as 5³

`5^{3^*(2)/(3)}`

Solve the exponents

`5^2`

`25`

Hence;

`(125^2)/(125^(4)/(3)) = 25`