Rewrite the expression with rational exponents as a radical expression.

7 times x to the two thirds power

9x^(3/2)=9 √(x^3 )  

Step-by-step explanation:

We are given

9x^(3/2)

We have to write the expression in radical form, for that the power has to be a multiple of ½

=9x^(3*1/2)

As we can see now the power is a multiple of 1/2. ½ will convert to square root while 3 will become the power of radicand.

So, 9 will remain outside of the square root while x will be inside the square root while having power 3.

=9 √(x^3 )

Hence,

9x^(3/2)=9 √(x^3 )  

the perimeter is increased by a factor of 2