The Power Rule

(xn)m=xnm\displaystyle {\left({x}^{{n}}\right)}^{{m}}={x}^{{{n}\cdot{m}}}

The power of an exponential expression raised to a power is the product of the exponents.

Complete this statement of the Power Rule:
(yc)d=\displaystyle {\left({y}^{{c}}\right)}^{{d}}=  

Simplify the expression completely.
(w3)5\displaystyle {\left({w}^{{3}}\right)}^{{5}} =  

Simplify this expression.
(25)2\displaystyle {\left({2}^{{5}}\right)}^{{2}} =  

Compare the power rule to the product rule.
Simplify. 3433\displaystyle {3}^{{4}}\cdot{3}^{{3}} =