## Intermediate Algebra for College Students (7th Edition)

$\left(b^4\right)^{-3}=b^{-12}=\dfrac{1}{b^{12}}$
RECALL: (i) The power rule of exponents states that: $\left(a^{m}\right)^n=a^{mn}$. (ii) The negative-exponent rule states that: $a^{-m} = \dfrac{1}{a^m}$ and $\dfrac{1}{a^{-m}}=a^m$ where $a \ne 0$. Use the power rule to find: $\left(b^4\right)^{-3}=b^{4(-3)}=b^{-12}$ Use the negative-exponent rule to find: $b^{-12} = \dfrac{1}{b^{12}}$