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 )  

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

it will be a cylinder. with a diameter of 8 and 4 single pieces high

step-by-step explanation: