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

Explanation:

`2^3x^3y^(-2)\cdot 2^(-5)xy^2=2^(3-5)x^(3+1)y^(-2+2)=2^(-2)x^4\\\\=\boxed{(x^4)/(4)}`

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The applicable rules of exponents are ...

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

a^-b = 1/a^b