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Simplify completely and express as a single power of 2:
$(2^{7} \times 2^{3}) / (2^{4} \times 2^{2})$

Class 7Laws of ExponentsNumber System

A $2^{4}$
B $2^{8}$
C $2^{16}$
D $2^{2}$

Step-by-Step Solution

Numerator:

2^{7} \times 2^{3} = 2^{10}

. Denominator:

2^{4} \times 2^{2} = 2^{6}

. Then

2^{10} / 2^{6} = 2^{10 - 6} = 2^{4}

.

Answer: A)

2^{4}

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