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Use the laws of exponents to simplify $125 − 13$ and choose the correct option.

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-5

15

− 15

answer is D.

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Detailed Solution

We have to simplify the expression given as follows,

125 − 13

.
We can rewrite the given expression with using the law

a − b = 1 a b

and express 125 as a product of prime factors.

125 − 13 = 112513 = 112513 = 1 5 × 5 × 5 13 = 15313

Now, we further simplify the expression using the law

x a 1 b = x a b

, as follows,

15313 = 1 5 3 × 13 = 151 = 15

So,

125 − 13

is simplified as

15

.
Hence, the correct option is (4).

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