To calculate: \frac{(9a^{3}b^{4})^{\frac{1}{2}}}{15a^{2}b}

Kaycee Roche 2021-08-07 Answered

To calculate: (9a3b4)1215a2b

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Expert Answer

Maciej Morrow
Answered 2021-08-08 Author has 98 answers
Step 1
This algebraic expression needs to be simplified.
(9a3b4)1215a2b
Step 2
Our first step would be to distribute the exponent 1/2 on all the terms in the numerator as shown below:
(9a3b4)1215a2b(9)12(a3)12(b4)1215a2b
Step 3
Our next step is to simplify the exponents in the numerator as shown below:
(9)12(a3)12(b4)1215a2b3a32b215a2b
Step 4
Our next step is to split the corresponding terms and write them as numerator/denominator and finally use quotient rule of exponents to simplify them as shown below:
3a32b215a2b315a32a2b2b
15 a322 b2115 a12 b1
Step 5
We dont
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Jeffrey Jordon
Answered 2021-10-29 Author has 2313 answers

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