Question 1:
For this case we have the following expression:
[tex]\frac {x ^ 5y ^ 2} {xy ^ 2}[/tex]
We eliminate similar terms in the numerator and denominator:
[tex]\frac {x ^ 5} {x}[/tex]
By definition of division of powers of the same base we have to place the same base and subtract the exponents:
[tex]\frac {x ^ 5} {x} = x ^ {5-1} = x ^ 4[/tex]
ANswer:
Option D
Question 2:
For this case we must indicate which expression is not equal to 125.
We tested option A:
[tex]5 (\frac {5 ^ 3} {\frac {2} {5}}) ^ 2 =[/tex]
Simplifying we have:
[tex]5 (\frac {5 ^ 3 * 5} {2}) ^ 2 =\\5 (\frac {5 ^ 8} {4}) =\\\frac {5 ^ 9} {4}[/tex]
The expression is not equal to 125.
Answer:
option A
