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Express 648 as a product of powers of its prime factors.

Class 7Prime Factors in Exponent FormNumber System

A $2^{3} \times 3^{4}$
B $2^{3} \times 3^{3}$
C $2^{2} \times 3^{4}$
D $2^{4} \times 3^{3}$

Step-by-Step Solution

648 ÷ 2 = 324, ÷ 2 = 162, ÷ 2 = 81, and

81 = 3 \times 3 \times 3 \times 3

. So

648 = 2^{3} \times 3^{4}

. Check:

8 \times 81 = 648

. The others give 432, 324 and 216.

Answer: A)

2^{3} \times 3^{4}

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