Question

Fully simplify using only positive exponents.

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

125x

5

y

3


5x

6

y

6


​

Answer 1

Answer:

$\frac{xy^{3}}{25}$

Step-by-step explanation:

Given

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

Required

Simplify the given expression

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

Start by applying law of indices

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

$\frac{5xy^{3}}{125}$

Divide numerator and denominator by 5

$\frac{xy^{3}}{25}$

Hence; the expression is equivalent to $\frac{xy^{3}}{25}$