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Popular >

simplify (7a^5b^6)^4

Solution

simplify

(7 a^{5} b^{6})^{4}

Solution

2401 a^{20} b^{24}

Solution steps

(7 a^{5} b^{6})^{4}

Apply exponent rule:

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

(7 a^{5} b^{6})^{4} = 7^{4} (a^{5})^{4} (b^{6})^{4}

= 7^{4} (a^{5})^{4} (b^{6})^{4}

7^{4} = 2401

= 2401 (a^{5})^{4} (b^{6})^{4}

Simplify

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

= 2401 a^{20} (b^{6})^{4}

Simplify

(b^{6})^{4} : b^{24}

= 2401 a^{20} b^{24}

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Frequently Asked Questions (FAQ)

What is (7a^5b^6)^4 ?
The solution to (7a^5b^6)^4 is 2401a^{20}b^{24}