Question

Simplify the expression. the quantity x to the three halves power end quantity to the power of 6

Answer 1

`x^9`

Explanation:

We are given that an expression

`\left\{(x)^{(3)/(2)\right\}^6`

We have to simplify the given expression

In order to simplify the expression we will use given below rule

We know that
`(a^b)^c= a^(b\cdot c)`

Using this rule

`(x)^{(3)/(2)\cdot 6}`

`(x)^(3\cdot 3)`

`x^9`

`\left\{(x)^{(3)/(2)\right\}^6=x^9`

Answer 2

x^9

Explanation:

The rule of exponents that applies is ...

(a^b)^c = a^(b·c)

For your problem, you have a=x, b=(3/2), c=6, so ...

(x^(3/2))^6 = x^(3/2·6) = x^9