Question

hw 12 - higher order derivatives section 2.7: problem 1 (1 point)
reduce $\frac{11x^{-7}}{4x^{-2}}$ to the variable raised to a single positive exponent.
a. $\frac{11}{4x^{5}}$
b. $\frac{11x^{5}}{4}$
c. $\frac{1}{44x^{5}}$
d. $\frac{4x^{5}}{11}$
e. none of the above

Explanation:

Step1: Use exponent - division rule

$\frac{11x^{-7}}{4x^{-2}}=\frac{11}{4}\times x^{-7-(-2)}$

Step2: Simplify the exponent

$\frac{11}{4}\times x^{-7 + 2}=\frac{11}{4}x^{-5}$

Step3: Convert to positive exponent

$\frac{11}{4x^{5}}$

Answer:

A. $\frac{11}{4x^{5}}$