Question

simplify. express your answer using positive exponents. \\(\frac{h^{-9}}{h^{8}}\\)

Explanation:

Step1: Use exponent rule \( \frac{a^m}{a^n}=a^{m - n} \)

For \( \frac{h^{-9}}{h^{8}} \), apply the rule: \( h^{-9 - 8} \)

Step2: Calculate the exponent

\( -9 - 8=-17 \), so we have \( h^{-17} \)

Step3: Convert negative exponent to positive

Using \( a^{-n}=\frac{1}{a^n} \), \( h^{-17}=\frac{1}{h^{17}} \)

Answer:

\( \frac{1}{h^{17}} \)