Question

Geoffrey is evaluating the expression (-3)^6(2^6)/(-3)^5(2^2) as shown below.

Answer 1

It's A, a = 4, b = 2, c = 16, d = 9

Explanation:

I took that quiz on E d g e n u i t y and it was correct. Thank you for your time, and I hope that It helps someone!! \(^o^\)

Answer 2

The step by step method to simplify the expression is given below:


`( (-3)^(6) 2^(6) )/( (-3)^(5) 2^(2) ) \\ \\`

The terms in denominator can be moved to denominator by inverting the signs of their exponent as shown below:


`(-3)^(6) (-3)^(-5) (2)^(6) (2)^(-2)`

The exponents with common base can be combined:


`(-3)^(6-5) (2)^(6-2) \\ \\ = (-3)^(1) (2)^(4) \\ \\ =-3 (16) \\ \\ =-48`

The expression thus simplifies to - 48.