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Write the product $12 \times 30$ as a product of powers of primes.

Class 7Prime Factors in Exponent FormNumber System

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

Step-by-Step Solution

12 =

2^{2} \times 3

and

30 = 2 \times 3 \times 5

. Multiplying:

2^{2 + 1} \times 3^{1 + 1} \times 5 = 2^{3} \times 3^{2} \times 5 = 360

.

Answer: A)

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

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