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Write 72 as a product of powers of its prime factors.

Class 7Prime Factors in Exponent FormNumber System

A $2 \times 6^{2}$
B $2^{2} \times 3^{3}$
C $2^{3} \times 3^{2}$
D $2^{4} \times 3$

Step-by-Step Solution

72 =

2 \times 36 = 2 \times 2 \times 18 = 2 \times 2 \times 2 \times 9 = 2^{3} \times 3^{2} .2 \times 6^{2}

also equals 72, but 6 is not prime.

2^{2} \times 3^{3} = 108

and

2^{4} \times 3 = 48

.

Answer: C)

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

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