Question

Using laws of exponents, simplify and write the answer in exponential form:

`(5^2)^3 ÷ 5^3`

Answer 1

(5²)³ ÷ 5³

= 5^{2 × 3} ÷ 5³        ...(∵ a^m)ⁿ = a^mn

= 5⁶ ÷ 5³

= `5^((6  −  3))`           ...(∵ a^m ÷ aⁿ = a^{m − n})

= 5³