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Serjik [45]
2 years ago
8

Question 12(Multiple Choice Worth 1 points)

Mathematics
1 answer:
rusak2 [61]2 years ago
7 0

Answer:

\frac1{25}

Step-by-step explanation:

Hello!

Let's use a couple of exponent rules:

  • \frac{a^x}{a^b} = a^{x - b}
  • a^{-x} = \frac{1}{a^x}

Let's utilize the first rule and simplify the fraction.

<h3>Simplify</h3>
  • \frac{5^4}{5^6}
  • 5^{4 - 6}
  • 5^{-2}

Now, we can utilize the second exponent rule, as we have a base to the power of a negative number.

<h3>Simplify</h3>
  • 5^{-2}
  • \frac1{5^2}
  • \frac1{25}

The answer is option 1, \frac{1}{25}.

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Given the two expressions shown below:
kobusy [5.1K]
<h2>Answer: A. Both are rational.</h2>

Step-by-step explanation:

Although both expressions have square roots, the result of each square root is an integer, which can be expressed as a fraction.

In this sense:

Rational numbers are all numbers that can be represented as the quotient (division) of two integer numbers. This means they can be represented as a fraction in which the denominator is nonzero.

If we solve both expressions, we will be able to see that the result is an integer that can be expressed as a fraction with two integers:

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Answer:

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