Question

simplify: $(d^{2})^{-3}$
a $d$
b $\frac{1}{d}$
c $\frac{1}{d^{6}}$
d $d^{6}$

Explanation:

Step1: Apply power of a power rule

$(d^2)^{-3} = d^{2 \times (-3)}$

Step2: Calculate the exponent

$d^{2 \times (-3)} = d^{-6}$

Step3: Rewrite negative exponent

$d^{-6} = \frac{1}{d^6}$

Answer:

C. $\frac{1}{d^6}$