Simplify. Write the answer using positive exponents only.
-$\left( x ^ { 2 } \right) ^ { - 7 }$
A) $- 7 x ^ { 2 }$
B) $- 7 \times 14$
C) $- x ^ { 14 }$
D) $\frac { 1 } { x ^ { 14 } }$

Question

Quizplus · Accepted Answer

When simplifying $\left( x ^ { 2 } \right) ^ { - 7 }$, you apply the rule of exponents that states $a^{m^n} = a^{mn}$, resulting in $x^{-14}$. To express this with a positive exponent, you use the rule that $x^{-n} = \frac{1}{x^n}$, leading to $\frac { 1 } { x ^ { 14 } }$.

Simplify Write the Answer Using Positive Exponents Only (x2)−7\left( x ^ { 2 } \right) ^ { - 7 }(x2)−7

Simplify Write the Answer Using Positive Exponents Only $\left( x ^ { 2 } \right) ^ { - 7 }$