Simplify the expression. Express your answer using rational indicators if the letters represent positive numbers: \frac{\sqrt{a^{3}b}}{\sqrt[4]{a^{3}b^{2}}}

illusiia

illusiia

Answered question

2021-07-30

Simplify the expression. Express your answer using rational indicators if the letters represent positive numbers.
a3ba3b24

Answer & Explanation

Sally Cresswell

Sally Cresswell

Skilled2021-07-31Added 91 answers

Step 1
Use the property of n the root, in the expression
a3ba3b24=a32b12a34b24
=a32b12a34b12
Now, use the law of exponents, in the above expression.
a32b12a34b12=a(3234)b(1212)
=a(634)b(112)
=a34b02
=a34
Thus, the solution of the expression a3ba3b24 is a34

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-29Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?