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?(1 point)
Responses
35
3 superscript 5 baseline
53
5 cubed
51
5 superscript 1 baseline
513
5 raised to the power of 1/3.
To rewrite 5^(-√3) using a rational exponent, we need to connect the meaning of a root to the rational exponent. The rational exponent can be written as a fraction, where the numerator represents the power and the denominator represents the root.
In this case, the root is √3, which can be written as 3^(1/2) because a square root is the same as raising a number to the power of 1/2.
So, 5^(-√3) can be rewritten as 5^(-3^(1/2)).
Therefore, the correct answer is: 5^(-3^(1/2))