Question

For which value of m is the equation below true? x^m x^4=x^8? A m=4. B m=12. C m=32. D m=2

Answer 1

Answer:

A

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ ⇔ $a^{m+n}$, thus

Given

$x^{m}$ × $x^{4}$ = $x^{8}$, that is

$x^{4+m}$ = $x^{8}$

Since the bases are the same equate the exponents

4 + m = 8 ( subtract 4 from both sides )

m = 4 → A