Question

4^x • 4^y = 1024 What is x + y?

Answer 1

Answer:

x + y = 5

Step-by-step explanation:

using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{m+n}$ , then

$4^{x}$ × $4^{y}$ = $4^{x+y}$ , so

$4^{x+y}$ = 1024 = $4^{5}$

since the bases on both sides are equal, both 4 then equate exponents

x + y = 5

Answer 2

Answer:

x + y = 5

Step-by-step explanation:

${4}^{x} . {4}^{y} = 1024 \\ \\ {4}^{x + y} = {4}^{5} \\ \\ x + y = 5$