Question

Simplify. Evaluate the numerical bases. 2^3 x ^3y ^-2 . 2^-5 xy^2

A. 4x^4
B. x^4 /4
C. x^4 / 2y^4
D. 2x^4 / y^4

Answer 1

9514 1404 393

Answer:

  B. x^4/4

Step-by-step explanation:

   $2^3x^3y^{-2}\cdot 2^{-5}xy^2=2^{3-5}x^{3+1}y^{-2+2}=2^{-2}x^4\\\\=\boxed{\dfrac{x^4}{4}}$

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b