which expression has the same value as $-y^{-4}$?\n$-y^{4}$\n$-\frac{1}{y^{4}}$\n$\frac{1}{y^{4}}$\n$y^{4}$
which expression has the same value as $-y^{-4}$?\n$-y^{4}$\n$-\frac{1}{y^{4}}$\n$\frac{1}{y^{4}}$\n$y^{4}$
Answer
Explanation:
Step1: Recall negative - exponent rule
The rule for negative exponents is (a^{-n}=\frac{1}{a^{n}}) where (a\neq0) and (n) is a positive integer. For the expression (-y^{-4}), we first apply the negative - exponent rule to (y^{-4}). So, (y^{-4}=\frac{1}{y^{4}}). Then, considering the negative sign in front of (y^{-4}), we have (-y^{-4}=-\frac{1}{y^{4}}).
Answer:
(-\frac{1}{y^{4}}) (corresponding to the second option in the multiple - choice list)