Exploring the Quotient of Powers Property

The video tutorial explains the quotient of powers property, which states that when dividing powers with the same base, you subtract the exponents. It provides examples using different bases, such as 'a', '6', and 'Z', demonstrating how to simplify expressions by canceling out equal terms. The tutorial also covers more complex examples that involve additional steps, such as simplifying fractions and combining like terms before applying the quotient of powers property.

What does the quotient of powers property state?

• Multiply the exponents when dividing powers with the same base.

• Divide the exponents when dividing powers with the same base.

• Subtract the exponents when dividing powers with the same base.

• Add the exponents when dividing powers with the same base.

In the example a^5 / a^2, what is the simplified result?

• a^1

• a^3

• a^2

• a^7

When dividing powers with the same base, what should you do with the exponents?

• Divide them

• Add them

• Subtract them

• Multiply them

What is the result of 6^9 / 6^4?

• 6^5

• 6^13

• 6^2

• 6^3

In the expression 12n^5 / 8n^3, what is the simplified coefficient?

• 2/3

• 4/3

• 3/4

• 3/2

What is the simplified form of 12n^5 / 8n^3?

• 3n^2 / 2

• 2n^2 / 3

• 3n^3 / 2

• 2n^3 / 3

What is the first step in simplifying 12n^5 / 8n^3?

• Multiply the coefficients

• Divide the coefficients

• Add the exponents

• Subtract the exponents

In the expression 20a^7 / a^2, what is the simplified result?

• 20a^6

• 20a^4

• 20a^9

• 20a^5

In the expression 20a^7 / a^2, what happens to the exponents?

• They are added

• They are subtracted

• They are multiplied

• They are divided

What is the simplified form of 20a^7 / a^2?

• 20a^9

• 20a^5

• 20a^4

• 20a^6