Example

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

Question

$$-2+ { \times }^{ 3 } - { y }^{ 5 }$$

Answer

$$-2+^6-y^5$$

Solution


Remove parentheses.
\[-2+{}^{3}-{y}^{5}\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[-2+{}^{3}{}^{3}-{y}^{5}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[-2+{}^{6}-{y}^{5}\]
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