Chapter A.1, Problem 17E

Solution

Use a calculator to evaluate the expression.

  $729$ .

Given:

The given expression is ${81}^{3/2}$ .

Concept Used:

• Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.

Calculation:

The given expression is ${81}^{3/2}$ .

Square root of ${81}^{3/2}$ is:

Let $x={81}^{3/2}$

  $\begin{array}{l}x={81}^{3/2}\\ $ x={(81)}^{3/2}$$ x={(9\cdot 9)}^{3/2}$$ x={(9^2)}^{3/2}$x=9^3\\ x=729\end{array}$

Thus the solution of given expression ${81}^{3/2}$ is $729$ .