Question

Simplify the following expression using properties of exponents.
(4z)⁻³×(2z)⁵

Answer 1

z²/2

Explanation:

The applicable properties of exponents are ...

(ab)^c = (a^c)(b^c)

(a^b)(a^c) = a^(b+c)

a^-b = 1/a^b

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`(4z)^(-3)\cdot(2z)^5=(4^(-3))(z^(-3))(2^5)(z^5)=(32)/(64)z^(-3+5)\\\\=\boxed{(z^2)/(2)}`