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xz_007 [3.2K]
4 years ago
8

Which of the following is equivalent to

Mathematics
2 answers:
IRISSAK [1]4 years ago
7 0

Answer:

x^{4}

Step-by-step explanation:

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

= x^{4}

disa [49]4 years ago
4 0

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

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