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?
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)).
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))