Simplifying Expressions with Negative Exponents

The video tutorial covers the application of exponent rules in algebraic expressions. It begins by explaining how to distribute exponents across terms within parentheses and highlights the difference between raising a base and an entire term to a power. The tutorial then introduces the 'rule of wrong position,' which involves moving terms with negative exponents to the denominator to make them positive. Finally, it demonstrates simplifying fractions with exponents by canceling terms and flipping fractions to simplify calculations. The video aims to clarify these concepts through step-by-step examples.

What does the parentheses indicate in the expression 2X -4 * 3x -2?

• Neither the 2 nor the X is raised to the 4th power.

• Only the X is raised to the 4th power.

• Both the 2 and the X are raised to the 4th power.

• Only the 2 is raised to the 4th power.

What is the first step in distributing the exponent to the terms inside the parentheses?

• Add the exponents.

• Combine like terms.

• Multiply the exponents.

• Distribute the exponent to each term.

What happens to the terms in the wrong position when applying the rule of wrong position?

• They stay in the numerator.

• They move to the denominator and become positive.

• They are eliminated.

• They stay in the denominator.

What is the simplified form of 2 to the 4th power?

• 8

• 12

• 16

• 24

When multiplying like bases, what do you do with the exponents?

• Subtract them.

• Multiply them.

• Divide them.

• Add them.

What is the first step in simplifying a fraction raised to an exponent?

• Reduce the terms inside the fraction.

• Flip the fraction.

• Add the exponents.

• Square each term.

How do you handle terms that can be canceled out in a fraction?

• Leave them as they are.

• Move them to the numerator.

• Move them to the denominator.

• Cancel them out to simplify.

What is the next step after reducing the terms inside the fraction?

• Flip the fraction and make the exponent positive.

• Divide the terms.

• Multiply the terms.

• Add the exponents.

What do you do with the fraction after flipping it?

• Add the exponents.

• Divide the terms.

• Square each term inside the fraction.

• Multiply the terms.

What is the final simplified form of the expression after squaring each term?

• N9 and X2 squared is X to the 4th.

• N6 and X2 squared is X to the 4th.

• N6 and X2 squared is X to the 2nd.

• N9 and X2 squared is X to the 2nd.