Question

2^a/2^b = 512 What is a - b?

Answer 1

Answer:

a - b = 9

Step-by-step explanation:

using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{m-n}$ , then

$\frac{2^{a} }{2^{b} }$ = $2^{a-b}$ , so

$2^{a-b}$ = 512 = $2^{9}$

since bases on both sides are equal, both 2 then equate exponents

a - b = 9

Answer 2

Answer:

a - b = 9

steps and explanation:

• $\frac{2^a}{2^b} = 512$

• $2^{a - b } =512$

• $2^{a - b } = 2^9$

• $a - b = 9$