Question

11. Express each as a product of the powers of prime numbers. (a) 270 x 32 (b) 108 x 144 (c) 64 x 15,625​

Answer 1

$(a) 2^{6}$× $3^{3}$ × $5$

$(b) 2^{6} 3^{5}$

$(c) 2^{6} 5^{6}$

Answer 2

${\red{\underline \mathsf{Answer}}}$

$a) \: \: 270 \times 32 \\ (2 \times 3^{5} \times 5) \times 2 ^{5} \\ =2 ^{6} \times3 ^{5} \times 5 \\ \\ b)108 \times 144 \\ (2 ^{2} \times 3 ^{3} ) \times (2 {}^{2} \times 3) \\ =2 ^{4} \times 3 ^{4} \\ \\ c)64 \times 15625 \\ ( {2}^{6} ) \times ( {5}^{6} \\ = (2 \times 5) ^{6} \\ {10}^{6}$

Step-by-step explanation:

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