Question

express (125)-3 as a power with base5
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Answer 1

Answer:

(125)-³ = (5)-9

Step-by-step explanation:

125 = 5×5×5

= 5³

Therefore, (125)-³ = (5³)-³

= (5)-9. ......{ (a²)² = (a)⁴}

Hope it helps.

Answer 2

Correct question: Express (125)^-3 as a power with base 5.

(125)^-3 can be expressed as 5^-9 with base 5.

Given,

An expression: (125)^-3

To Find,

Expression with base 5.

Solution,

We know that, 125 = 5x5x5 = 5³

⇒ (125)^-3 = (5x5x5)^-3

                 = (5³)^-3

                 = 5^-9

Therefore, (125)^-3 can be expressed as 5^-9 with base 5.

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