Question

Write the exponential expression 3x^3/8 in radical form.

Answer 1

To make sure you do this correctly, first i would suggest separating the 3 and the x

3•x^3/8

For a fractional exponent, the denominator is the root you take of the number (in this case the eight root) and the numerator is the exponent of the number under the radical.

3• ^8√x^3

Sorry that's a little messy, it's the best i can do on my phone!!

The multiplication symbol ( • ) is not necessary, I just put it there to make things more clear.

Hope this helps!

Answer 2

When a variable or a number is raised by a fraction, the numerator is related to the power of the variable under the radical sign. While the denominator is the nth root of the variable. in this case, 3 x^3/8 is equal to 3 times the 3rd root of x^8