Consider this expression and the steps to evaluate it. 4^5(−2)^9/4^8(−2)^3 1. apply the quotient of powers:      (−2)^a/4^b 2. evaluate powers:           c/d select the value of each variable. a = _ b = _ c = _ d = _

value of a = 6

value of b = 3

value of c = 64

value of d= 64

Step-by-step explanation:

1. Apply the quotient of powers:

(-2)^a / 4^b

In the given expression:

We know if we have the same base then the powers are subtracting if the bases are in numerator and denominator

i.e

Solving:

So, the value of a = 6

and the value of b = 3

2. Evaluate Powers

c/d

We have

Solving:

When power is even negative sign changes into plus sign

64/64

So value of c = 64

and value of d= 64