Question

(-3)3 (26)

Geoffrey is evaluating the expression
pression (-3) (22) as si
as shown below.
(-3)² (26) (2)° c
(-3) 5 (22) - (-3)0
What are the values of a, b, c, and d?
a=4, b=2, C= 16. d=9
2-4,5--2, с- 16.0-9
a-8, D-8, C- 256, 0-6,561
a-3, 6-8, C-256, d--6,561

Answer 1

A: a=4, b=2, c=16, d=9 ✅

Answer 2

Question:

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

(-3)^3(2^6)/(-3)^5(2^2) = (2)^a/(-3)^b = c/d

What are the values of a, b, c, and d?

Answer:

The values are a = 4, b = 2, c = 16, d = 9

Solution:

Given that,

Geoffrey is evaluating the expression

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

He is evaluating as shown below:

`((-3)^3 * 2^6)/((-3)^5 * 2^2) = (2^a)/(-3^b) = (c)/(d)`

From given,

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

Use the law of exponent

`(a^m)/(a^n) = a^(m - n)`

Therefore,

`((-3)^3 * 2^6)/((-3)^5 * 2^2) = (2^(6-2))/((-3)^(5-3))\\\\Simplify\\\\((-3)^3 * 2^6)/((-3)^5 * 2^2) = (2^4)/(-3^2)`

Thus,

a = 4

b = 2

Simplify further

`((-3)^3 * 2^6)/((-3)^5 * 2^2) = (2^4)/(-3^2) = (16)/(9)`

Thus,

c = 16

d = 9

Thus values are a = 4, b = 2, c = 16, d = 9