Question

Find the missing exponent. Set up an equation and solve. : x^4·x^n = x^5

Answer 1

$Use\ a^n\cdot a^m=a^{n+m}\\\\x^4\cdot x^n=x^5\\\\x^{4+n}=x^5\iff4+n=5\ \ \ |subtract\ 4\ from\ both\ sides\\\\\boxed{n=1}$