kuhnsfamily kuhnsfamily
  • 12-05-2020
  • Mathematics
contestada

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

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-05-2020

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

__

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

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