Quotient of Powers Property

The video tutorial explains the quotient of powers property, which is used to divide two powers with the same nonzero base by subtracting the exponent of the denominator from the exponent of the numerator. An example problem is presented, where 9 to the 5th power is divided by 9 to the 3rd power, resulting in 9 to the 2nd power. The solution is broken down step-by-step, demonstrating how to simplify the expression by canceling out common factors.

What is the quotient of powers property used for?

• To add two powers with the same base

• To subtract two powers with different bases

• To divide two powers with the same base

• To multiply two powers with different bases

When dividing two powers with the same base, what operation is performed on the exponents?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponent of the denominator from the numerator

If you have 9^5 divided by 9^3, what is the result using the quotient of powers property?

• 9^8

• 9^2

• 9^15

• 9^1

How can 9^5 / 9^3 be rewritten using the quotient of powers property?

• 9^(5+3)

• 9^(5/3)

• 9^(5*3)

• 9^(5-3)

What is the simplified form of 9^5 / 9^3?

• 9^5

• 9^1

• 9^3

• 9^2

In the expression 9^5 / 9^3, how many 9s remain after canceling common factors?

• 1

• 2

• 3

• 4

What is the result of 9^5 / 9^3 after canceling out the common factors?

• 9^1

• 9^2

• 9^3

• 9^4

What is the base in the expression 9^5 / 9^3?

• 3

• 5

• 2

• 9

What is the exponent of the numerator in the expression 9^5 / 9^3?

• 1

• 2

• 5

• 3

What is the exponent of the denominator in the expression 9^5 / 9^3?

• 3

• 5

• 2

• 1