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Popular >

simplify (2a^5a^4)^6

Solution

simplify

(2 a^{5} a^{4})^{6}

Solution

64 a^{54}

Solution steps

(2 a^{5} a^{4})^{6}

Apply exponent rule:

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

(2 a^{5} a^{4})^{6} = 2^{6} (a^{5})^{6} (a^{4})^{6}

= 2^{6} (a^{5})^{6} (a^{4})^{6}

2^{6} = 64

= 64 (a^{5})^{6} (a^{4})^{6}

Simplify

(a^{5})^{6} : a^{30}

= 64 a^{30} (a^{4})^{6}

Simplify

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

= 64 a^{30} a^{24}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

a^{30} a^{24} = a^{30 + 24}

= 64 a^{30 + 24}

Add the numbers:

30 + 24 = 54

= 64 a^{54}

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Frequently Asked Questions (FAQ)

What is (2a^5a^4)^6 ?
The solution to (2a^5a^4)^6 is 64a^{54}