Q96 of 196 Page 249

Express as a power of a rational number with negative exponent.
(2⁵ ÷ 2⁸) × 2^–7

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

Express and as powers of a rational number.

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

Find the product of the cube of (–2) and the square of (+4).

Simplify:

Express as a power of a rational number with negative exponent.(25 ÷ 28) × 2–7