The Product Rule

xn⋅xm=xn+m\displaystyle {x}^{{n}}\cdot{x}^{{m}}={x}^{{{n}+{m}}}

When you multiply two exponential expressions with the same base together, you add the exponents.

Complete this expression.
2p⋅2r\displaystyle {2}^{{p}}\cdot{2}^{{r}}=  

Simplify the following expression completely.
z6⋅z14\displaystyle {z}^{{6}}\cdot{z}^{{14}} =  

Simplify the following.
34⋅32\displaystyle {3}^{{4}}\cdot{3}^{{2}} =  

Note: We can only use the product rule when we multiply expressions together.
Simplify. 23+25\displaystyle {2}^{{3}}+{2}^{{5}} =  

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