Question

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

Answer 1

Answer:

$x^9$

Step-by-step explanation:

We are given that an expression

$\left\{(x)^{\frac{3}{2}\right\}^6$

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

$(x)^{\frac{3}{2}\cdot 6}$

$(x)^{3\cdot 3}$

$x^9$

$\left\{(x)^{\frac{3}{2}\right\}^6=x^9$

Answer 2

Answer:

x^9

Step-by-step 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