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What should come in the place of question mark (?) in this question? (243)0.15 × (243)0.05 = ?

What should come in the place of question mark (?) in this question? (243)0.15 × (243)0.05 = ? Correct Answer 3

Solve the given question, using following laws of indices,

Laws of Indices:

1. am × an = a{m + n}

2. am ÷ an = a{m - n}

3. (am )n = amn

4. (a)(1/m) = m√a

5. (a)-m = 1/am

6. (a)m/n = n√am

7. (a)0 = 1

By using these laws,

(243)0.15 × (243)0.05

= (35)0.15 × (35)0.05

= 35 × 0.15 × 35 × 0.05

= 3 0.75 + 0.25

= 31 = 3

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