Question

The value of 256^0.16 × 256^0.09 is:
1. 4
2. 16
3. 256.25
4. 64

Answer 1

Correct Answer - Option 1 : 4

Given:

2560.16 × 2560.09

Concept Used:

a^m × aⁿ = a^{m + n}

(a^m)ⁿ = a^{(m × n)}

Calculation:

2560.16 × 2560.09

⇒ 256^{(0.16 + 0.09)}

⇒ (4⁴)^0.25

⇒ (4⁴)^1/4

⇒ 4^{(4 × 1/4)}

⇒ 4¹ = 4

∴ Required value of the given expression is 4