Question

Express as a power of a rational number with negative exponent.

(2⁵ ÷ 2⁸) × 2^–7

Answer 1

Using laws of exponents ,a^m × aⁿ = a^(m+n)

And , a^m ÷ aⁿ = a^(m-n)

We have , (2⁵ ÷ 2⁸) = 2^(5-8) = 2^-3

Now , 2^-3 × 2^–7= 2^(-3)+(-7) = 2^-10

∴ (2⁵ ÷ 2⁸) × 2^–7= 2^-10