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Popular >

simplify (2w^4*u^3)^5

Solution

simplify

(2 w^{4} \cdot u^{3})^{5}

Solution

32 w^{20} u^{15}

Solution steps

(2 w^{4} u^{3})^{5}

Apply exponent rule:

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

(2 w^{4} u^{3})^{5} = 2^{5} (w^{4})^{5} (u^{3})^{5}

= 2^{5} (w^{4})^{5} (u^{3})^{5}

2^{5} = 32

= 32 (w^{4})^{5} (u^{3})^{5}

Simplify

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

= 32 w^{20} (u^{3})^{5}

Simplify

(u^{3})^{5} : u^{15}

= 32 w^{20} u^{15}

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Frequently Asked Questions (FAQ)

What is (2w^4*u^3)^5 ?
The solution to (2w^4*u^3)^5 is 32w^{20}u^{15}