# How do you simplify 5x^2 * 2x^5  leaving only positive exponents?

Apr 14, 2016

$10 {x}^{7}$

#### Explanation:

Since multiplication is commutative, this can be rearranged and written as

$\left(5 \cdot 2\right) \left({x}^{2} \cdot {x}^{5}\right)$

Multiply $5$ and $2$ to get $10$, and recall the rule for multiplying exponential terms with the same base:

${x}^{a} \cdot {x}^{b} = {x}^{a + b}$

Thus, we see the expression equals

$10 {x}^{2 + 5} = 10 {x}^{7}$