Simplifying Algebraic Expressions

The video tutorial explains how to simplify a complex algebraic expression using exponent rules. It begins by introducing the expression and then applies the power rule to simplify terms with exponents. The tutorial continues by simplifying terms involving 'b' and coefficients. The quotient rule is then used to further simplify the expression. Finally, the video addresses negative exponents and presents the fully simplified expression.

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

• a to the ninth power

• a to the twelfth power

• a to the third power

• a to the sixth power

What is the first step in simplifying the given expression?

• Combine like terms

• Use the power property on a to the third

• Address negative exponents

• Simplify the numerical fraction

How do you simplify b times b squared?

• b to the second power

• b to the third power

• b to the fourth power

• b to the fifth power

What is the result of dividing 25 by 5 in the expression?

• 1

• 10

• 5

• 0

What does a to the ninth over a squared simplify to?

• a to the eleventh power

• a to the seventh power

• a to the fifth power

• a to the third power

Which property of exponents is used to simplify a to the ninth over a squared?

• Product property

• Power property

• Quotient property

• Zero exponent property

How do you simplify b squared over b to the third power?

• b to the zero power

• b to the second power

• b to the negative one power

• b to the first power

What is the result of simplifying 5a to the ninth times b squared over a squared times b to the third?

• 5a to the ninth times b squared

• 5a to the seventh times b to the negative one

• 5a to the ninth times b to the negative one

• 5a to the seventh times b squared

What is the equivalent of b to the negative one power?

• b to the zero power

• b squared

• 1 over b

• b

What is the final simplified form of the expression?

• 5a to the ninth times b

• 5a to the ninth over b squared

• 5a to the seventh over b

• 5a to the seventh times b