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

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Answer 1 · 2016-04-14T21:46:16

$10x^7$

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

$(5*2)(x^2*x^5)$

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

$x^a*x^b=x^(a+b)$

Thus, we see the expression equals

$10x^(2+5)=10x^7$

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