Question

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

`(2^20 ÷ 2^15) xx 2^3`

Answer 1

(2²⁰ ÷ 2¹⁵) × 2³

= `(2^(20  −  15))` × 2³       ...(∵ a^m ÷ aⁿ = a^{m − n})

= 2⁵ × 2³

= `2^(5  +  3)`            ...(∵ a^m × aⁿ = a^{m + n})

= 2⁸