Question

2^n * 3 * 5^m
Write 8A as a product of powers of its prime factors

Answer 1

Answer:

hope you got it.

Step-by-step explanation:

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Answer 2

Answer:

$8A = 2^{n+3} X 3 X 5^{m}$ is a product of powers of its prime factors.

Step-by-step explanation:

Given, A = $2^{n} X 3 X 5^{m}$

The numbers 2, 3 and 5 are already prime numbers.

Multiplying 8 on both sides;

8XA= $2^{n} X 3 X 5^{m}$ X 8

Expressing 8 as the product of prime numbers;

8A = $2^{n} X 3 X 5^{m}$ X 2 X 2 X 2

8A = $2^{n} X 3 X 5^{m}$ X $2^{3}$              (When the base is same, the power is added)

Adding the power of base 2, we add n and 3.

8 A = $2^{n+3} X 3 X 5^{m}$

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