which expression is equivalent to $5y^{-3}$?\n$\frac{1}{125y^{3}}$\n$\frac{1}{5y^{3}}$\n$\frac{5}{y^{3}}$\n$\…

which expression is equivalent to $5y^{-3}$?\n$\frac{1}{125y^{3}}$\n$\frac{1}{5y^{3}}$\n$\frac{5}{y^{3}}$\n$\frac{125}{y^{3}}$

which expression is equivalent to $5y^{-3}$?\n$\frac{1}{125y^{3}}$\n$\frac{1}{5y^{3}}$\n$\frac{5}{y^{3}}$\n$\frac{125}{y^{3}}$

Answer

Explanation:

Step1: Recall negative - exponent rule

The rule for negative exponents is $a^{-n}=\frac{1}{a^{n}}$ ($a\neq0$). For the expression $5y^{-3}$, we only apply the negative - exponent rule to the $y$ term since the negative exponent is only on $y$.

Step2: Apply the rule

We have $5y^{-3}=5\times y^{-3}$. Using the rule $y^{-3}=\frac{1}{y^{3}}$, then $5\times y^{-3}=5\times\frac{1}{y^{3}}=\frac{5}{y^{3}}$.

Answer:

$\frac{5}{y^{3}}$