Chapter 38, Problem 15A

To determine

(a)

The given expression is problem.

Answer to Problem 15A

  $4$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-2)}^2=4$

{using the addition principle of equality}

To determine

(b)

The given expression is problem.

Answer to Problem 15A

  $8$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(2)}^3=8$

{using the addition principle of equality}

To determine

(c)

The given expression is problem.

Answer to Problem 15A

  $-8$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-2)}^3=-8$

{using the addition principle of equality}

To determine

(d)

The given expression is problem.

Answer to Problem 15A

  $-64$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-4)}^3=-64$

{using the addition principle of equality}

To determine

(e)

The given expression is problem.

Answer to Problem 15A

  $16$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-2)}^4=16$

{using the addition principle of equality}

To determine

(f)

The given expression is problem.

Answer to Problem 15A

  $-32$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-2)}^5=-32$

{using the addition principle of equality}

To determine

(g)

The given expression is problem.

Answer to Problem 15A

  $36$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-6)}^2=36$

{using the addition principle of equality}

To determine

(h)

The given expression is problem.

Answer to Problem 15A

  $-125$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-5)}^3=-125$

{using the addition principle of equality}

To determine

(i)

The given expression is problem.

Answer to Problem 15A

  $64$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-2)}^6=64$

{using the addition principle of equality}

To determine

(j)

The given expression is problem.

Answer to Problem 15A

  $2.56$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-1.6)}^2=2.56$

{using the addition principle of equality}

To determine

(k)

The given expression is problem.

Answer to Problem 15A

  $0.064$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-0.4)}^3=0.064$

{using the addition principle of equality}

To determine

(l)

The given expression is problem.

Answer to Problem 15A

  $0.647$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(0.93)}^6=0.647$

{using the addition principle of equality}

To determine

(m)

The given expression is problem.

Answer to Problem 15A

  $2.496$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-1.58)}^2=2.496$

{using the addition principle of equality}

To determine

(n)

The given expression is problem.

Answer to Problem 15A

  $0.614$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-0.85)}^3=0.614$

{using the addition principle of equality}

To determine

(o)

To solve the expression using the addition principle of equality.

Answer to Problem 15A

  $0.389$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(0.73)}^3=0.389$

{using the addition principle of equality}

To determine

(p)

To solve the expression using the addition principle of equality.

Answer to Problem 15A

  $\frac{-8}{27}$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(\frac{-2}{3})}^3=\frac{-8}{27}$

{using the addition principle of equality}

To determine

(q)

To solve the expression using the addition principle of equality.

Answer to Problem 15A

  $-0.83$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-1.038)}^{-5}=-0.83$

{using the addition principle of equality}

To determine

(r)

To solve the expression using the addition principle of equality.

Answer to Problem 15A

  $0.0033$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(17.66)}^{-2}=0.0033$

{using the addition principle of equality}

To determine

(s)

To solve the expression using the addition principle of equality.

Answer to Problem 15A

  $1.749$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-0.83)}^{-3}=1.749$

{using the addition principle of equality}

To determine

(t)

To solve the expression using the addition principle of equality.

Answer to Problem 15A

  $-.000728$

Explanation of Solution

Given information:

The given expression is problem.

Calculation:

By solving this expression.

  ${(-6.087)}^{-4}=-.000728$

{using the addition principle of equality}