Question

What does product rule of exponents say

Answer 1

The rules of exponents are
$( x^{m})( x^{n})=( x^{m+n})$
$\frac{ x^{m} }{ x^{n} } = x^{m-n}$
$x^{ \frac{m}{n} } = \sqrt[n]{ x^{m} }$
$( x^{m} )( y^{m} )=(yx)^{m}$
$( x^{m})^{n}=x^{mn}$
$( \frac{x}{y})^{m}= \frac{x^{m}}{y^{m}}$
$x^{-n}= \frac{1}{x^{n}}$
these are just some basic ones

Answer 2

Step-by-step explanation: Whenever you multiply two powers together that have like bases, you can simply add the exponents together. This idea is called the product rule.

I'll show an example.

In the image provide, we're asked to simplify.

Since the two powers have the same base of X, we can multiply them together by adding their exponents. So $X^{3}$ × $X^{4}$ is $X^{7}$