Chapter 38, Problem 16A

To determine

(a)

To solve the given expression using the division rule.

Answer to Problem 16A

  $4$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{64}={(64)}^{\frac{1}{3}}=4$

(using the addition principle of equality)

To determine

(b)

To solve the given expression using the division rule.

Answer to Problem 16A

  $-4$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{-64}={(-64)}^{\frac{1}{3}}=-4$

(using the addition principle of equality)

To determine

(c)

To solve the given expression using the division rule.

Answer to Problem 16A

  $-3$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{-27}=-3$

(using the addition principle of equality)

To determine

(d)

To solve the given expression using the division rule.

Answer to Problem 16A

  $-10$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{-1000}=-10$

(using the addition principle of equality)

To determine

(e)

To solve the given expression using the division rule.

Answer to Problem 16A

  $10$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{1000}=10$

(using the addition principle of equality)

To determine

(f)

To solve the given expression using the division rule.

Answer to Problem 16A

  $-2$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[5]{-32}=-2$

(using the addition principle of equality)

To determine

(g)

To solve the given expression using the division rule.

Answer to Problem 16A

  $5$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{125}=5$

(using the addition principle of equality)

To determine

(h)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $2$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[5]{32}=2$

(using the addition principle of equality)

To determine

(i)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $1$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{1}=1$

(using the addition principle of equality)

To determine

(j)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $-1$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{-1}=-1$

(using the addition principle of equality)

To determine

(k)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $-1$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[7]{-1}=-1$

(using the addition principle of equality)

To determine

(l)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $6$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{216}=6$

(using the addition principle of equality)

To determine

(m)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $\frac{2}{4}$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{\frac{-8}{-64}}=\frac{2}{4}$

(using the addition principle of equality)

To determine

(n)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $\frac{1}{2}$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[4]{\frac{1}{16}}=\frac{1}{2}$

(using the addition principle of equality)

To determine

(o)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $\frac{3}{-5}$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{\frac{27}{-125}}=\frac{3}{-5}$

(using the addition principle of equality)

To determine

(p)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $\frac{3}{-5}$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{\frac{27}{-125}}=\frac{3}{-5}$

(using the addition principle of equality)

To determine

(q)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $-6.184$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{-236.539}=-6.184$

(using the addition principle of equality)

To determine

(r)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $-2.437$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[5]{-86.009}=-2.437$

(using the addition principle of equality)

To determine

(s)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $0.923$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{\frac{-97.326}{-123.592}}=0.923$

(using the addition principle of equality)

To determine

(t)

To solve the expression using the addition principle of equality.

Answer to Problem 16A

  $1.726$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  $\sqrt[3]{\frac{-89.096}{-17.323}}=1.726$

(using the addition principle of equality)