Question

- Express each of the following as product of powers of prime factors:
(a) 81 ×128 (b) 256 x 121​

Answer 1

• 81 × 128

(3×3×3×3) × (2×2×2×2×2×2×2)

• 256 × 121

(2×2×2×2×2×2×2×2) × (11×11)

KILLER✌

Answer 2

Answer: the powers of prime factors are    $3^{4} \times 2^{7}$ and $2^{8} \times 11^{2}$.

Step-by-step explanation:

According to the question,

The following as products of the powers of prime factors:

As the prime factors of  81 ×128 is,

(3×3×3×3)×(2×2×2×2×2×2×2)

$3^{4} \times 2^{7}$

Now 256 x 121​

(2×2×2×2×2×2×2×2)×(11×11)

$2^{8} \times 11^{2}$

So the powers of prime factors are    $3^{4} \times 2^{7}$ and $2^{8} \times 11^{2}$.

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