Simplifying Expressions with Exponents

The video tutorial explains how to simplify expressions with negative exponents. It covers the application of power rules, including raising each component of a product to a power and multiplying powers when an expression is raised to another power. The tutorial also demonstrates how to convert negative exponents to positive by moving terms between the numerator and denominator. Finally, it addresses simplifying fractional expressions with exponents, ensuring no negative exponents remain in the final answer.

What is the first step in simplifying an expression with negative exponents?

• Convert all exponents to positive.

• Raise each part of the expression to the given power.

• Raise each part of the expression to the power of zero.

• Multiply all terms by zero.

When raising a product to a power, what should you do with each factor?

• Divide each factor by the power.

• Multiply the factors together first.

• Raise each factor to the given power.

• Add the exponents of each factor.

What is the result of multiplying powers when raising a power to another power?

• Subtract the exponents.

• Divide the exponents.

• Add the exponents.

• Multiply the exponents.

What is the result of raising x^3 to the power of -1?

• x^0

• x^3

• x^-3

• 1/x^3

How do you simplify y^-4 raised to the power of -1?

• y^4

• 1/y^-4

• 1/y^4

• y^-4

How can you eliminate negative exponents in a simplified expression?

• By moving terms to the opposite part of the fraction.

• By subtracting the exponents.

• By adding more terms.

• By multiplying by zero.

What rule is used when raising a fraction to a power?

• Raise only the numerator to the power.

• Multiply the numerator and denominator by the power.

• Raise only the denominator to the power.

• Raise both the numerator and denominator to the power.

How do you apply the power rule to a fraction?

• Multiply the fraction by the power.

• Raise the denominator to the power and leave the numerator unchanged.

• Raise both the numerator and denominator to the power.

• Raise the numerator to the power and leave the denominator unchanged.

If you have (a/b)^n, how do you express it using the power rule?

• a^n / b

• a^n * b^n

• a / b^n

• a^n / b^n

What is the simplified form of (x^-1)^-3?

• x^3

• x^-3

• 1/x^3

• x^0