Simplify. Write the answer using positive exponents only.
-$\left(x^{2}\right)^{-7}$

A)
$-7 x^{2}$
B)
$-7 x^{14}$
C)
$-x^{14}$
D)
$\frac{1}{\mathrm{x}^{14}}$

Question

Simplify. Write the answer using positive exponents only.
-$\left(x^{2}\right)^{-7}$

A) 
$-7 x^{2}$
B) 
$-7 x^{14}$
C) 
$-x^{14}$
D) 
$\frac{1}{\mathrm{x}^{14}}$

Quizplus · Accepted Answer

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

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

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