Question

simplify. express your answer using positive exponents.\\(\frac{(9s^{-2})(7s^{-4})}{7s^{-1}}\\)

Explanation:

Step1: Multiply coefficients in numerator

$9 \times 7 = 63$

Step2: Add exponents of $s$ in numerator

$s^{-2} \times s^{-4} = s^{-2 + (-4)} = s^{-6}$

Step3: Simplify coefficient fraction

$\frac{63}{7} = 9$

Step4: Subtract exponents of $s$

$s^{-6} \div s^{-1} = s^{-6 - (-1)} = s^{-5}$

Step5: Convert to positive exponent

$s^{-5} = \frac{1}{s^5}$

Step6: Combine coefficient and variable

$9 \times \frac{1}{s^5}$

Answer:

$\frac{9}{s^5}$