Question

b) Express 72 x 324 as product of prime factors only in exponential form.
24 2.5​

Answer 1

$72 \times 324 \\ (2 \times 2 \times 2 \times 3 \times 3) \times (2 \times 2 \times 3 \times 3 \times 3 \times 3) \\ {(2)}^{5} \times {(3)}^{6}$

Answer 2

Step-by-step explanation:

$72 \times 324 \\ = (2 \times 2 \times 2 \times 3 \times 3) \times (2 \times 2 \times 3 \times 3 \times 3 \times 3) \\ = ( {2}^{3} \times {3}^{2} ) \times ( {2}^{2} \times {3}^{4} ) \\ = ( {2}^{3 + 2} \times {3}^{2 + 4} ) \\ = {2}^{5} \times {3}^{6}$