Question

Express each of the following as a product of prime factors is the exponential form:
(i) 729 × 125

Answer 1

Answer:

Step-by-step explanation:

→$729*125$

→$3^{6} * 5^{3}$

→$(3*3*3*3*3*3) * (5*5*5)$

$thank you [tex]\{huge}\thanks}$

Answer 2

729 × 125 = 3⁶ × 5³

Given :

The expression 729 × 125

To find :

Express as a product of prime factors in the exponential form

Solution :

Step 1 of 4 :

Write down the given expression

Here the given expression is 729 × 125

Step 2 of 4 :

Prime factorise 729

On prime factorisation we get

729 = 3 × 3 × 3 × 3 × 3 × 3

⇒ 729 = 3⁶

Step 3 of 4 :

Prime factorise 125

On prime factorisation we get

125 = 5 × 5 × 5

⇒ 125 = 5³

Step 4 of 4 :

Express 729 × 125 as a product of prime factors in the exponential form

We have ,

729 = 3⁶

125 = 5³

So we get ,

$\sf 729 \times 125$

$\sf = {3}^{6} \times {5}^{3}$

∴ 729 × 125 = 3⁶ × 5³