Question

$$(7\ sc^{3}y^{2})^{4}$$

Answer

$$2401*s^4*c^12*y^8$$

Solution


Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{7}^{4}{s}^{4}{({c}^{3})}^{4}{({y}^{2})}^{4}\]
Simplify  \({7}^{4}\)  to  \(2401\).
\[2401{s}^{4}{({c}^{3})}^{4}{({y}^{2})}^{4}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[2401{s}^{4}{c}^{12}{({y}^{2})}^{4}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[2401{s}^{4}{c}^{12}{y}^{8}\]