Question

simplify. express your answer using exponents.
$(q^{-7}r^{-8}s^{-6})^{-1}$

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, we multiply the exponents. For \((a^m)^n=a^{m\times n}\). So for \((q^{-7}r^{-8}s^{-6})^{-1}\), we multiply each exponent by \(- 1\).
For the exponent of \(q\): \(-7\times(-1) = 7\)
For the exponent of \(r\): \(-8\times(-1)=8\)
For the exponent of \(s\): \(-6\times(-1) = 6\)

Step2: Write the simplified form

Using the results from step 1, we get \(q^{7}r^{8}s^{6}\)

Answer:

\(q^{7}r^{8}s^{6}\)