Using the Quotient of Powers Property

The video tutorial covers dividing powers with the same base, simplifying expressions using the quotient of powers property, and evaluating expressions. It explains the algebraic representation of the quotient of powers property, provides examples, and offers practice problems with solutions. The tutorial also discusses simplifying expressions using both product and quotient of powers properties.

What is the quotient of powers property used for?

• Subtracting exponents of the same base

• Dividing powers with different bases

• Multiplying powers with the same base

• Adding exponents of the same base

Why can't the base be zero in the quotient of powers property?

• Because it would result in a negative exponent

• Because it would make the expression infinite

• Because it would make the expression undefined

• Because it would result in a zero exponent

If you have 3^9 divided by 3^4, what is the simplified result?

• 3^13

• 3^5

• 3^6

• 3^3

What is the result of (-2)^10 divided by (-2)^4?

• (-2)^4

• (-2)^14

• (-2)^6

• (-2)^2

What is the simplified form of X^8 divided by X^7?

• X^1

• X^0

• X^15

• X^2

How do you simplify 5^4 * 5^2 divided by 5^3?

• 5^3

• 5^2

• 5^1

• 5^4

What is the final result of X^10 / X^6 * X^7 / X^4?

• X^7

• X^6

• X^8

• X^5