To calculate:

Kaycee Roche
2021-08-07
Answered

To calculate:

You can still ask an expert for help

Maciej Morrow

Answered 2021-08-08
Author has **98** answers

Step 1

This algebraic expression needs to be simplified.

$\frac{{\left(9{a}^{3}{b}^{4}\right)}^{\frac{1}{2}}}{15{a}^{2}b}$

Step 2

Our first step would be to distribute the exponent 1/2 on all the terms in the numerator as shown below:

$\frac{{\left(9{a}^{3}{b}^{4}\right)}^{\frac{1}{2}}}{15{a}^{2}b}\Rightarrow \frac{{\left(9\right)}^{\frac{1}{2}}{\left({a}^{3}\right)}^{\frac{1}{2}}{\left({b}^{4}\right)}^{\frac{1}{2}}}{15{a}^{2}b}$

Step 3

Our next step is to simplify the exponents in the numerator as shown below:

$\frac{{\left(9\right)}^{\frac{1}{2}}{\left({a}^{3}\right)}^{\frac{1}{2}}{\left({b}^{4}\right)}^{\frac{1}{2}}}{15{a}^{2}b}\Rightarrow \frac{3{a}^{\frac{3}{2}}{b}^{2}}{15{a}^{2}b}$

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:

$\frac{3{a}^{\frac{3}{2}}{b}^{2}}{15{a}^{2}b}\Rightarrow \frac{3}{15}\cdot \frac{{a}^{\frac{3}{2}}}{{a}^{2}}\cdot \frac{{b}^{2}}{b}$

$\Rightarrow \frac{1}{5}\cdot \text{}{a}^{\frac{3}{2}-2}\cdot \text{}{b}^{2-1}\Rightarrow \frac{1}{5}\cdot \text{}{a}^{-\frac{1}{2}}\cdot \text{}{b}^{1}$

Step 5

We dont

This algebraic expression needs to be simplified.

Step 2

Our first step would be to distribute the exponent 1/2 on all the terms in the numerator as shown below:

Step 3

Our next step is to simplify the exponents in the numerator as shown below:

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:

Step 5

We dont

Jeffrey Jordon

Answered 2021-10-29
Author has **2313** answers

Answer is given below (on video)

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