Simplifying Expressions with Exponents

The video tutorial explains how to simplify expressions involving fractions raised to powers. It covers the application of exponent rules, such as raising both the numerator and denominator to the power, and using the power property of exponents. The tutorial provides examples to demonstrate these concepts, including simplifying complex fractions. The video concludes with a final example and a summary of the key points discussed.

What is the result of raising the fraction five over p to the fourth power?

• 625/p^4

• 25/p^2

• 5p^4

• 5^4/p

How do you apply the power property of exponents to a fraction raised to a power?

• Multiply the exponents of the numerator and denominator

• Divide the exponents of the numerator by the denominator

• Add the exponents of the numerator and denominator

• Subtract the exponents of the numerator from the denominator

What is the simplified form of two x over three squared?

• 4x^2/9

• 2x^2/3

• 4x/9

• 2x/3^2

When simplifying two x over three squared, what is the exponent applied to the number 2?

• 3

• 2

• 4

• 1

In the expression two x over three squared, what is the exponent applied to the variable x?

• 2

• 4

• 1

• 3

What is the result of raising the expression two to the first, m to the first, n cubed over three to the first, r squared to the third power?

• 8m^3n^9/9r^6

• 8m^3n^3/27r^2

• 8m^3n^9/27r^6

• 2m^3n^9/3r^6

In the complex expression, what is the exponent applied to the variable m?

• 4

• 3

• 2

• 1

What is the exponent applied to the variable n in the complex expression?

• 12

• 9

• 6

• 3

What is the exponent applied to the variable r in the complex expression?

• 3

• 6

• 2

• 4

What is the base number raised to the third power in the complex expression?

• 5

• 2

• 3

• 4