Question

Simplify the expression. (X^3)^-5 A. 1/x^15 B. X^15 C. X^8 D. 1/x^8

Answer 1

$\text{Use:}\\(a^n)^m=a^{nm}\ \text{and}\ a^{-n}=\dfrac{1}{a^n}\\\\(x^3)^{-5}=x^{3\cdot(-5)}=x^{-15}=\dfrac{1}{x^{15}}\to A.$

Answer: A. 1/x^15