1.

Find the value of ‘?’ in 512 × 125 ÷ 15625 = 3125 × 25?1). 42). 33). 24). 1

Answer»

LAWS of Indices:

1. am × an = a{m + n}

2. a÷ an = a{m - n}

3. (am )n = amn

4. (a)-m = 1/am

5. (a)m/n = n√am

6. (a)0 = 1

⇒ 512 × 125 ÷ 15625 = 3125 × 25?

⇒ 512 × 53 ÷ 56 = 55 × (52)?

⇒ 512 + 3 - 6 = 55 + 2?

⇒ 59 = 55 + 2?

⇒ 9 = 5 + 2?

⇒ ? = 4/2

∴ ? = 2


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