simplify: $a^{-1}b^{-2}$
simplify: $a^{-1}b^{-2}$
Answer
Explanation:
Step1: Apply negative exponent rule
According to the rule (x^{-n}=\frac{1}{x^{n}}), for (a^{-1}), we have (a^{-1}=\frac{1}{a^{1}}=\frac{1}{a}), and for (b^{-2}), we have (b^{-2}=\frac{1}{b^{2}}).
Step2: Multiply the two fractions
(a^{-1}b^{-2}=\frac{1}{a}\times\frac{1}{b^{2}}=\frac{1}{ab^{2}})
Answer:
(\frac{1}{ab^{2}})