Use the properties of exponents to simplify. Write with positive exponents.
-$\frac { 12 ^ { 1 / 7 } } { 12 ^ { - 13 / 7 } }$
A) 2
B) 144
C) $12 ^ { 1 / 2 }$
D) $\frac { 1 } { 12 ^ { 12 / 7 } }$

Question

Quizplus · Accepted Answer

Using the property of exponents $\frac{a^m}{a^n} = a^{m-n}$, we have $\frac{12^{1/7}}{12^{-13/7}} = 12^{1/7 - (-13/7)} = 12^{1/7 + 13/7} = 12^{14/7} = 12^2 = 144$.

Use the Properties of Exponents to Simplify 121/712−13/7\frac { 12 ^ { 1 / 7 } } { 12 ^ { - 13 / 7 } }12−13/7121/7​

Use the Properties of Exponents to Simplify $\frac { 12 ^ { 1 / 7 } } { 12 ^ { - 13 / 7 } }$