1.

254.1 ÷ 53.3 × 1256.7 = 25X1). 142). 30.63). 12.54). 7.5

Answer»

By using the law 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

The equation will be SOLVED as

254.1 ÷ 53.3 × 1256.7 = 25X

⇒ (52)4.1 ÷ 53.3 × (53)6.7 = (52)X

⇒ 58.2 ÷ 53.3 × 520.1 = 52X

⇒ 5(8.2 – 3.3)× 520.1 = 52X

⇒ 54.9× 520.1 = 52X

⇒ 5(4.9 + 20.1) = 52X

⇒525 = 52X

⇒ 25 = 2X

∴ X = 12.5


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