Simplify the expression. Then express your answer using rational indicators: \frac{\sqrt{xy}}{\sqrt[4]{16xy}}

iohanetc

iohanetc

Answered question

2021-07-30

Simplify the expression. Then express your answer using rational indicators. Let the letters stand for positive numbers.
xy16xy4

Answer & Explanation

lobeflepnoumni

lobeflepnoumni

Skilled2021-07-31Added 99 answers

Step 1
Formula:
amn=amn
Law of exponent:
aman=amn
Step 2
Use the property of n the root, in the expression xy16xy4
xy16xy4=(xy)12(16)14(xy)14
=(xy)12(24)14(xy)14
=(xy)12(2)414(xy)14
=(xy)122(xy)14
Now, use the law of exponents, in the above expression.
=(xy)122(xy)14=(xy)12142
=(xy)2142
=(xy)142
Thus, the solution of the expression xy16xy4 is =(xy)142

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-29Added 2605 answers

Answer is given below (on video)

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