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

Question

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

in progress 0
Aaliyah 2 weeks 2021-09-10T11:48:01+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T11:49:56+00:00

    Answer:

      z²/2

    Step-by-step 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

    __

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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )