Question

Simplify


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

Answer 1

`\left((h^(12))/(h^4)\right)^3\\\\\text{use}\ (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((h^(12))/(h^4)\right)^3=h^(24)}`

Answer 2

`h^(24)`

Explanation:

`((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.