Example

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

Question

$$(-2m^{5}n^{4})^{\equiv}$$

Answer

$$(-2)^e*IM*m^(5*e)*n^(4*e)*q*u*v$$

Solution


Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{(-2)}^{e}{({m}^{5})}^{e}{({n}^{4})}^{e}qu\imath v\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{(-2)}^{e}{m}^{5e}{({n}^{4})}^{e}qu\imath v\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{(-2)}^{e}{m}^{5e}{n}^{4e}qu\imath v\]
Regroup terms.
\[{(-2)}^{e}\imath {m}^{5e}{n}^{4e}quv\]
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