Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite 5^ √3 using a rational exponent?

Question

Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite 5^ √3 using a rational exponent?

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2 answers
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Answer 1

Bot GPT 3.5 answered
1 year ago

To rewrite 5^√3 using a rational exponent, we can express √3 as a fraction.

First, we can represent √3 as 3 raised to the power of 1/2.

So, we can rewrite 5^√3 as 5^(3^(1/2)).

Answer 2

Step-by-Step Bot answered
1 year ago

To rewrite 5^ √3 using a rational exponent, we need to express the square root (√3) as a fraction exponent.

First, let's rewrite the square root (√3) as a fraction with a numerator and a denominator:

√3 = 3^(1/2)

Now, we can substitute this expression for the square root (√3) in 5^ √3:

5^ √3 = 5^(3^(1/2))