Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{(x^{2})^{3}(x^{2})^{5}$$

Answer

$$x^16$$

Solution


Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{x}^{6}{({x}^{2})}^{5}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{x}^{6}{x}^{10}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{x}^{6+10}\]
Simplify  \(6+10\)  to  \(16\).
\[{x}^{16}\]
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