Question

Simplify (-3c^-3w^5)^3
A -9w^8
B. -27cw^8
C. w^15/27c^9
D.-27w^15/c^9

Answer 1

`\large\boxed{D.\ (-27w^(15))/(c^9)}`

Explanation:

`(-3c^(-3)w^5)^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=(-3)^3(c^(-3))^3(w^5)^3\qquad\text{use}\ (a^n)^m=a^(nm)\\\\=-27c^(-3\cdot3)w^(5\cdot3)=-27c^(-9)w^(15)\qquad\text{use}\ a^(-n)=(1)/(a^n)\\\\=-27\left((1)/(c^9)\right)w^(15)=(-27w^(15))/(c^9)`