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Simplify completely:
$(5^{2} x 5^{3})^{2} / 5^{6}$

Class 7Laws of ExponentsNumber System

A $5^{4}$
B $5^{10}$
C $5^{16}$
D $5^{7}$

Step-by-Step Solution

Inside:

5^{2} \times 5^{3} = 5^{5}

. Square it:

(5^{5})^{2} = 5^{10}

. Then

5^{10} / 5^{6} = 5^{10 - 6} = 5^{4}

.

Answer: A)

5^{4}

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