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
51
5 superscript 1 baseline
513
5 superscript Start Fraction 1 over 3 End Fraction baseline
53
5 cubed
35
5 superscript Start Fraction 1 over 3 End Fraction baseline
To rewrite 5–√3 using a rational exponent, we need to connect the meaning of a rational exponent to the meaning of a root.
The meaning of a rational exponent can be represented as a fraction. Specifically, if we have a rational exponent represented as p/q, where p is the numerator and q is the denominator, it is equivalent to taking the qth root of the base and then raising it to the pth power.
In this case, the root we want to connect to is the square root (since it's √3). The square root can be represented as a fractional exponent with a denominator of 2, so we want to rewrite the expression with a rational exponent of 1/2.
Therefore, 5–√3 can be rewritten as 5^(1/2).