The simplified value of the expression \frac{\sqrt[3]{5x^{5}y}}{\sqrt[3]{625x^{2}y^{4}}}

Clifland

Clifland

Answered question

2021-08-05

The simplified value of the expression 5x5y3625x2y43

Answer & Explanation

toroztatG

toroztatG

Skilled2021-08-06Added 98 answers

Step 1
Formula used:
If b is a real number and m and n are integers, then
bmbn=bmn and (ab)m=ambm
For an even integer n, n{an}=|a|, and if n is odd, then ann=a
Step 2
Simplify the radicals by the properties of exponents.
5x5y3625x2y43=5x5y625x2y43
=x52125y413
=x3125y33
Forther solve and get,
5x5y3625x2y43=x353y33
=(x5y)33
=x5y
Therefore, the simplified value of 5x5y3625x2y43 is x5y

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-29Added 2605 answers

Answer is given below (on video)

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