simplify (v^4w^2)^5

Solution

simplify

(v^{4} w^{2})^{5}

v^{20} w^{10}

Solution steps

(v^{4} w^{2})^{5}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(v^{4} w^{2})^{5} = (v^{4})^{5} (w^{2})^{5}

= (v^{4})^{5} (w^{2})^{5}

Simplify

(v^{4})^{5} : v^{20}

= v^{20} (w^{2})^{5}

Simplify

(w^{2})^{5} : w^{10}

= v^{20} w^{10}

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