# How do you simplify (x^4)^4 (x^3)^5?

Feb 5, 2016

${x}^{31}$

#### Explanation:

From the law of exponents : ${\left({x}^{m}\right)}^{n} = {x}^{m n}$

We may write : ${\left({x}^{4}\right)}^{4} \cdot {\left({x}^{3}\right)}^{5} = {x}^{16} \cdot {x}^{15}$.

From the law of exponents : ${x}^{m} \cdot {x}^{n} = {x}^{m + n}$

we may write : ${x}^{16} \cdot {x}^{15} = {x}^{16 + 15} = {x}^{31}$.