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Ravi wrote $2 \times 2 \times 2 \times 3 \times 3$ in a shorter way using exponents. Which is correct?

Class 7Prime Factors in Exponent FormNumber System

A $2^{2} \times 3^{3}$
B $3^{2} \times 2^{2}$
C $6^{5}$
D $2^{3} \times 3^{2}$

Step-by-Step Solution

The factor 2 appears three times and 3 appears twice, so the product is

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

. You cannot join different bases into

6^{5}

.

Answer: D)

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

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