Problem

Simplify. \[ \frac{6 p^{-3} r^{6}}{q^{-9}} \] Select one: a. $\frac{6 q^{9}}{p^{3} r^{6}}$ b. $\frac{6 q^{9} r^{6}}{p^{3}}$ c. $\frac{6 p^{3} r^{6}}{q^{9}}$ d. $6 p^{3} r^{6} q^{9}$

Solution

Step 1 :Given the expression \(\frac{6 p^{-3} r^{6}}{q^{-9}}\).

Step 2 :We know that \(x^{-n} = \frac{1}{x^n}\).

Step 3 :So, we can rewrite the expression as \(\frac{6}{p^{3}} * r^{6} * q^{9}\).

Step 4 :This simplifies to \(\frac{6 q^{9} r^{6}}{p^{3}}\).

Step 5 :So, the final answer is \(\boxed{\frac{6 q^{9} r^{6}}{p^{3}}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/WRyQxZzR5H/

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