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.

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.

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

• 4y^3

• 1/4y^3

• 4/y^3

• y^3/4

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

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.

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

• Divide the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Add the exponents.

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

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

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

• Reciprocal rule

• Power to power property

• Adding exponents

• Subtracting exponents

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)