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What will come in place of question mark ‘?’ in the following question? (128)0.14 × (128)0.02 = 128 ÷ 2?

What will come in place of question mark ‘?’ in the following question? (128)0.14 × (128)0.02 = 128 ÷ 2? Correct Answer <p>5.88</p>

To solve questions of this type, follow the laws of “Surds and indices’’ given below-

Laws of Indices:

1. am × an = a{m + n}

2. am ÷ an = a{m - n}

3. = amn

4. (a)(1/m) = m√a

5. (a)(-m) = 1/am

6. (a)(m/n) = n√am

7. (a)0 = 1

By using this laws:

⇒ (128)0.14 × (128)0.02 = 128 ÷ 2?

⇒ (27)0.14 × (27)0.02 = 27 ÷ 2?

⇒ (2)(7(0.14 + 0.02)) = 27 ÷ 2?

⇒ 27(0.16) = 27 ÷ 2?

⇒ 7(0.16) = 7 - ?

⇒ ? = 7 – 1.12

⇒ ? = 5.88

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