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Popular >

simplify (5q^4r^2)^5

Solution

simplify

(5 q^{4} r^{2})^{5}

Solution

3125 q^{20} r^{10}

Solution steps

(5 q^{4} r^{2})^{5}

Apply exponent rule:

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

(5 q^{4} r^{2})^{5} = 5^{5} (q^{4})^{5} (r^{2})^{5}

= 5^{5} (q^{4})^{5} (r^{2})^{5}

5^{5} = 3125

= 3125 (q^{4})^{5} (r^{2})^{5}

Simplify

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

= 3125 q^{20} (r^{2})^{5}

Simplify

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

= 3125 q^{20} r^{10}

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Frequently Asked Questions (FAQ)

What is (5q^4r^2)^5 ?
The solution to (5q^4r^2)^5 is 3125q^{20}r^{10}