Exercise 16 Page 50

Practice makes perfect

Let's start by considering the Negative Exponent Property.

Negative Exponent Property
a^(- n)=1/a^n, for every nonzero number a

With this property in mind, we can now evaluate the given expression for x= 4. To do so, we will start by substituting this value into the given expression. Let's do it!

- 5x^(- 4)

Substitute

x= 4

- 5( 4^(- 4))

NegExponentToFrac

a^(- m)=1/a^m

- 5(1/4^4)

Now that we have substituted this value and applied the property, we can continue simplifying the expression by following the order of operations.

- 5(1/4^4)

CalcPow

Calculate power

- 5(1/256)

MoveLeftFacToNumOne

a* 1/b= a/b

- 5/256

MoveNegNumToFrac

Put minus sign in front of fraction

- 5/256

Let's start by considering the Negative Exponent Property once again.

Negative Exponent Property
a^(- n)=1/a^n, for every nonzero number a

Now we can substitute x= 4 into the given expression and simplify using the above property.

7x^(- 3)

Substitute

x= 4

7( 4^(- 3))

NegExponentToFrac

a^(- m)=1/a^m

7(1/4^3)

Now that we have substituted this value and applied the property, we can continue simplifying the expression by following the order of operations.

7(1/4^3)

CalcPow

Calculate power

7(1/64)

MoveLeftFacToNumOne

a* 1/b= a/b

7/64

Subchapter links

Do You Understand? p.48

Do You Know How? p.48

Practice & Problem Solving p.49-50

Assessment Practice p.50

Exercise 16 Page 50

Hints

Check the answer

Practice exercises

Asses your skill