Understanding Negative Exponents

The video tutorial explains how to simplify expressions with negative exponents. It begins by reviewing the rules for negative exponents, demonstrating how moving terms across the fraction bar changes the sign of the exponent. The tutorial provides examples of simplifying expressions by applying these rules, including using the reciprocal rule. It concludes with a final example, showing different methods to achieve the same result, emphasizing the power-to-power property.

What is the main reason an expression is not considered simplified?

• It contains fractions.

• It contains large numbers.

• It contains negative exponents.

• It contains decimals.

Tags

CCSS.8.EE.A.1

What happens to the exponent when a term with a negative exponent is moved across the fraction bar?

• The exponent remains the same.

• The exponent doubles.

• The exponent becomes positive.

• The exponent becomes zero.

Tags

CCSS.8.EE.A.1

In the expression 4y^(-3), what is the simplified form?

• 4y^3

• 1/4y^3

• 4/y^3

• y^3/4

Tags

CCSS.8.EE.A.1

When simplifying (n/t)^(-3) using the power to power property, what is the result?

• n^3/t^3

• n^(-3)/t^(-3)

• t^3/n^3

• 1/n^3t^3

Tags

CCSS.8.EE.A.1

What is the reciprocal rule for simplifying expressions with negative exponents?

• Switch the numerator and denominator and change the exponent to positive.

• Add the exponents.

• Divide the exponents.

• Multiply the exponents.

Tags

CCSS.8.EE.A.1

How does the power to power property work when simplifying expressions?

• Divide the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Add the exponents.

Tags

CCSS.8.EE.A.1

In the expression (4/t)^(-3), what is the simplified form using the reciprocal rule?

• t^(-3)/4^(-3)

• 1/4^3t^3

• t^3/4^3

• 4^3/t^3

Tags

CCSS.8.EE.A.1

What is the result of simplifying 4^(-3)/t^(-3) using the power to power property?

• t^(-3)/4^(-3)

• 1/4^3t^3

• t^3/4^3

• 4^3/t^3

Tags

CCSS.8.EE.A.1

Which method is preferred by the narrator for simplifying expressions with negative exponents?

• Reciprocal rule

• Power to power property

• Adding exponents

• Subtracting exponents

Tags

CCSS.8.EE.A.1

What is the simplified form of t^(-3)/4^(-3)?

• 1/4^3t^3

• 4^3/t^3

• t^3/4^3

• t^(-3)/4^(-3)

Tags

CCSS.8.EE.A.1