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I need help on this. and there's two answers that's right but I don't know

I need help on this. and there's two answers that's right but I don't know-example-1

1 Answer

4 votes

Answer

Options B and C are correct.

(5⁸/5⁴) = 625

(5²)² = 625

Step-by-step explanation

We need to first know that

625 = 5⁴

So, the options that the laws of indices allow us to reduce to 5⁴

Option A

(5⁻²/5²) = 5⁻²⁻² = 5⁻⁴ = (1/5⁴) = (1/625)

This option is not correct.

Option B

(5⁸/5⁴) = 5⁸⁻⁴ = 5⁴ = 625

This option is correct.

Option C

(5²)² = 5⁴ = 625

This option is correct.

Option D

(5⁴) (5⁻²) = 5⁴⁻² = 5² = 25

This option is not correct.

Hope this Helps!!!

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