Question

By what number should we multiply 3 raise to -4 so that the product is 32?​

Answer 1

x = 2592

Explanation:

Equation: x * 3⁻⁴ = 32

Simplify: x/81 = 32

Multiply: x = 2592

Answer 2

`\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^(-n) \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^(-n)} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^(-m)\implies a^(n-m) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x\cdot 3^(-4)=32\implies x\cdot \cfrac{1}{3^4}=32\implies \cfrac{x}{81}=32\implies x=2592`