Question

The value of (243)^0.16 × (243)^0.04 is equal to:
1. \(\frac{1}{3}\)
2. 0.16
3. 0.04
4. 3

Answer 1

Correct Answer - Option 4 : 3

Given:

We have to find the value of (243)0.16 × (243)0.04 

Concept Used:

a^m × aⁿ = a^{(m + n)}

Calculation:

(243)0.16 × (243)0.04

⇒ (3⁵)^0.16 × (3⁵)^0.04

⇒ (3⁵)^{(0.16 + 0.04)}

⇒ (3⁵)^0.2

⇒ (3⁵)^(1/5)

⇒ 3

∴ The required value of the given expression is 3.