Question

simplify

$( \frac{ {h}^{12} }{ {h}^{4} } ) {}^{3}$
Plz help! and explain how you got the answer

Answer 1

Answer:

$h^{24}$

Step-by-step explanation:

$(\frac{h^{12}}{h^4})^3\\ (h^8)^3\\h^{24}$

When dividing two exponents (of the same bases) you subtract the exponents.  When there is an exponent to an exponent, you multiply the to exponents.

Answer 2

$\left(\dfrac{h^{12}}{h^4}\right)^3\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\left(h^{12-4}\right)^3=\left(h^8\right)^3\\\\\text{use}\ (a^n)^m=a^{n\cdot m}\\\\=h^{8\cdot3}=h^{24}\\\\Answer:\ \boxed{\left(\dfrac{h^{12}}{h^4}\right)^3=h^{24}}$