Question

Which of the following is equivalent to

Answer 1

Answer:

$x^{4}$

Step-by-step explanation:

$\frac{x^{5}y^{2} }{xy^{2} }$

= $x^{4}$

Answer 2

Question 1:

For this case we have the following expression:

$\frac {x ^ 5y ^ 2} {xy ^ 2}$

We eliminate similar terms in the numerator and denominator:

$\frac {x ^ 5} {x}$

By definition of division of powers of the same base we have to place the same base and subtract the exponents:

$\frac {x ^ 5} {x} = x ^ {5-1} = x ^ 4$

ANswer:

Option D

Question 2:

For this case we must indicate which expression is not equal to 125.

We tested option A:

$5 (\frac {5 ^ 3} {\frac {2} {5}}) ^ 2 =$

Simplifying we have:

$5 (\frac {5 ^ 3 * 5} {2}) ^ 2 =\\5 (\frac {5 ^ 8} {4}) =\\\frac {5 ^ 9} {4}$

The expression is not equal to 125.

Answer:

option A