Question

simplify. express your answer using positive exponents.\\(\frac{m^{-1}}{m^{-7}}\\)

Explanation:

Step1: Recall exponent rule for division

When dividing exponents with the same base \( a^m \div a^n=a^{m - n} \), here base is \( m \), so \( \frac{m^{-1}}{m^{-7}}=m^{-1-(-7)} \)

Step2: Simplify the exponent

Calculate \( -1-(-7)=-1 + 7 = 6 \), so we get \( m^{6} \)

Answer:

\( m^{6} \)