Math, asked by tannisthamanchanda, 2 months ago

solve using exponent laws 3^-5*15^-6*125/27^-2*25^-2

Answers

Answered by agambaruah06
1

(3^-5) × (15^-6) × 125/(27^-2) × (25^-2)

= (1/3⁵) × (1/15⁶) × 125/ (1/27²) × (1/25²)

= (125 × 27 × 27 × 25 × 25)/(3⁵ × 15⁶)

= (5³ × 3³ × 3³ × 5² × 5²)/(3⁵ × 3⁶ × 5⁶)

= (5⁷ × 3⁶)/(3¹¹ × 5⁶)

= 5^(7-6) × 3^(6-11)

= 5¹ × 3⁵

= 5 × 3⁵

= 1215

Similar questions