Question

Fully simplify using only positive exponents.

\frac{5x^6y^6}{125x^5y^3}

125x

5

y

3


5x

6

y

6


​

Answer 1

`(xy^(3))/(25)`

Explanation:

Given

`(5x^6y^6)/(125x^5y^3)`

Required

Simplify the given expression

`(5x^6y^6)/(125x^5y^3)`

Start by applying law of indices

`(5x^(6-5)y^(6-3))/(125)`

`(5xy^(3))/(125)`

Divide numerator and denominator by 5

`(xy^(3))/(25)`

Hence; the expression is equivalent to
`(xy^(3))/(25)`