Understanding Sign Fractions Raised to Powers

The video tutorial explains how to evaluate fractions raised to powers, emphasizing the importance of paying attention to the sign. It covers three examples: squaring a negative fraction, cubing a negative fraction, and handling a positive fraction with a negative sign outside the parentheses. The tutorial highlights the rules for multiplying negative numbers and the impact of even and odd exponents on the sign of the result.

What is the key difference when raising fractions to powers compared to integers?

• Fractions are not affected by the exponent.

• The base is a fraction, and attention to the sign is crucial.

• Fractions always result in a negative product.

• Fractions always result in a positive product.

When a negative fraction is raised to an even power, what is the sign of the result?

• Positive

• Zero

• Undefined

• Negative

What is the result of raising -3/7 to the power of 2?

• -9/49

• 3/7

• 9/49

• -3/7

How many factors of the base are there when raising a fraction to the third power?

• Four

• Two

• One

• Three

What is the sign of the product when a negative fraction is raised to an odd power?

• Zero

• Undefined

• Negative

• Positive

What is the result of raising -2/5 to the power of 3?

• -2/5

• 8/125

• -8/125

• 2/5

Why is it important to pay attention to the placement of the negative sign in expressions with parentheses?

• It affects the base value.

• It changes the fraction to an integer.

• It determines the exponent value.

• It affects whether the negative sign is influenced by the exponent.

What is the result of raising (2/3) to the power of 2 with a negative sign outside the parentheses?

• -2/3

• -4/9

• 2/3

• 4/9

If the negative sign is outside the parentheses, how does it affect the result?

• It makes the result positive.

• It has no effect on the result.

• It doubles the result.

• It makes the result negative.

What is the importance of evaluating exponential expressions with attention to the sign?

• It ensures the result is always positive.

• It helps in determining the correct sign of the result.

• It makes calculations faster.

• It is not important.