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Alexxx [7]
3 years ago
14

Which expression is equivalent to 4√144a^12b^3? PLEASE answer thank you!

Mathematics
2 answers:
finlep [7]3 years ago
4 0
The answer is 2a^3(4√9b^3)

Also known as A
Natali [406]3 years ago
3 0

Answer:2a^3\sqrt[4]{9b^3} is equivalent to \sqrt[4]{144a^{12}b^3}.

Explanation: Since, given expression, \sqrt[4]{144a^{12}b^3}

Since, we can write,

\sqrt[4]{144a^{12}b^3}=\sqrt[4]{16\times9\times (a^3)^4 b^3}     (because, a^{mn}=(a^n)^m

⇒\sqrt[4]{144a^{12}b^3}=\sqrt[4]{(2)^4\times9\times (a^3)^4\times b^3}

⇒\sqrt[4]{144a^{12}b^3}=2a^3\sqrt[4]{9 \times b^3}

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