Dividing Powers with the Same Base

The video tutorial covers the quotients of powers property, explaining how to simplify expressions with exponents by dividing them when they have the same base. The instructor provides multiple examples, demonstrating both the expanded form and the shortcut method of subtracting exponents. The video also includes examples of multiplying and dividing exponents, using shortcuts, and combining variables with exponents.

What is the result of dividing 5^6 by 5^2?

• 5^2

• 5^3

• 5^4

• 5^8

How many times is the base 5 multiplied in the expression 5^6?

• 6 times

• 8 times

• 5 times

• 7 times

What is the result of 5^6 divided by 5^2 using the shortcut method?

• 5^8

• 5^4

• 5^3

• 5^2

How many 5s are canceled out when simplifying 5^6 / 5^2?

• 4

• 2

• 1

• 3

What is the result of 5^6 divided by 5^2 using the expanded method?

• 5^2

• 5^3

• 5^4

• 5^8

How many 5s are left after canceling in 5^6 / 5^2 using the expanded method?

• 4

• 2

• 3

• 1

What is the shortcut for dividing powers with the same base?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

If a^m is divided by a^n, what is the result?

• a^(m/n)

• a^(m+n)

• a^(m-n)

• a^(m*n)

What is the result of (3^2 * 3^4) / 3^3?

• 3^3

• 3^5

• 3^2

• 3^4

How do you simplify 3^2 * 3^4?

• 3^6

• 3^8

• 3^5

• 3^7