Simplifying Exponents and Powers

The video tutorial explains how to simplify a complex algebraic expression involving powers and fractions. It begins by breaking down the expression into manageable parts, applying power rules, and simplifying negative powers. The tutorial then combines terms and performs further simplification, ultimately arriving at a simplified expression. Key concepts such as power rules, negative powers, and combining like terms are covered throughout the tutorial.

What is the result of raising a fraction to a power?

• Subtract the power from both the numerator and denominator

• Add the power to both the numerator and denominator

• Raise both the numerator and denominator to the power

• Multiply the numerator and denominator by the power

How do you simplify xy to the negative 2 power?

• x to the negative 2 times y to the negative 2

• x times y to the power of 2

• x squared times y squared

• 1 over x squared times y squared

What is the simplified form of x to the negative 2?

• 1 over x squared

• x to the power of 2

• x squared

• x to the power of 0

What is the simplified form of y to the negative 2?

• y to the power of 0

• y to the power of 2

• 1 over y squared

• y squared

What is the result of raising y squared to the fourth power?

• y to the fourth power

• y to the eighth power

• y to the sixth power

• y to the tenth power

What is the simplified form of 2x squared raised to the fourth power?

• 2 to the fourth power times x to the fourth power

• 2 to the eighth power times x to the fourth power

• 2 to the fourth power times x to the eighth power

• 2 to the fourth power times x squared

What is the result of multiplying y squared by y to the eighth?

• y to the eighth power

• y to the tenth power

• y to the sixth power

• y to the twelfth power

What is the result of raising x squared to the fourth power?

• x to the fourth power

• x to the tenth power

• x to the sixth power

• x to the eighth power

How do you simplify x to the eighth over x squared?

• x to the fourth power

• x to the second power

• x to the sixth power

• x to the tenth power

What is the final simplified form of the expression?

• 16 times x to the sixth over y to the eighth

• 16 times x to the fourth over y to the tenth

• 16 times x to the eighth over y to the tenth

• 16 times x to the sixth over y to the tenth