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More Lessons for Grade 6 Math

Math Worksheets

Videos, worksheets, stories and songs to help Grade 6 students learn about exponents with negative bases.

In this lesson, we will learn how to evaluate negative numbers raise to powers with and without parenthesis.

We can have a negative base raised to a power.

Remember to take note of the parenthesis.

For example,

−2^{4} = −16, (−2)^{4} = 16

A negative base raised to an even power is positive. A negative base raised to an odd power is negative.

For example,

(−2)^{4} = 16, (−2)^{3} = −8

**Evaluating Negative Numbers Raised to Powers**

This video provides examples of evaluating negative numbers raise to powers with and without parentheses.

Examples:

Evaluate:

(-4)^{2}

-4^{2}

(-3)^{4}

-3^{4}

(-2)^{3}

-2^{3}

**Exponents with negative bases and exponents with positive bases**

ExamplesL

Simplify:

a. -2^{4}

b. (-2)^{4}

**Nagative Bases**

We can use the rules of the multiplication of negative numbers to determine the sign of a negative base raised to an exponent.

Remember that a negative number times a positive number is a negative number and that two negative numbers multiplied together is a positive number.

When negative bases are raised to odd numbered powers, they give us negative results.

When negative bases are raised to even numbered powers, they give us positive results.

**Exponents with Negative Bases**

Rules:

In negative base with brackets,

When the exponent is even, the answer is positive and

when the exponent is odd, the answer is negative.

In negative bases without brackets, the answer is always negative

Examples:

-1^{5} + 1^{2}

(-2)^{3} + (-2)^{2}

-2(-2)^{4} + (-3)^{3}

**Evaluate Powers**

Learn how to evaluate powers.

Examples:

1. Evaluate.

a) 3^{4}

b) -11^{2}

c) (-7)^{3}

2. Express 81 in powers of 3

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 6 Math

Math Worksheets

Videos, worksheets, stories and songs to help Grade 6 students learn about exponents with negative bases.

In this lesson, we will learn how to evaluate negative numbers raise to powers with and without parenthesis.

We can have a negative base raised to a power.

Remember to take note of the parenthesis.

For example,

−2

A negative base raised to an even power is positive. A negative base raised to an odd power is negative.

For example,

(−2)

This video provides examples of evaluating negative numbers raise to powers with and without parentheses.

Examples:

Evaluate:

(-4)

-4

(-3)

-3

(-2)

-2

ExamplesL

Simplify:

a. -2

b. (-2)

We can use the rules of the multiplication of negative numbers to determine the sign of a negative base raised to an exponent.

Remember that a negative number times a positive number is a negative number and that two negative numbers multiplied together is a positive number.

When negative bases are raised to odd numbered powers, they give us negative results.

When negative bases are raised to even numbered powers, they give us positive results.

Rules:

In negative base with brackets,

When the exponent is even, the answer is positive and

when the exponent is odd, the answer is negative.

In negative bases without brackets, the answer is always negative

Examples:

-1

(-2)

-2(-2)

Learn how to evaluate powers.

Examples:

1. Evaluate.

a) 3

b) -11

c) (-7)

2. Express 81 in powers of 3

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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