Exponent Rules and Operations

This video tutorial covers the concept of numbers in exponential form raised to a power. It begins with a review of multiplying and dividing exponents with like bases, emphasizing the addition and subtraction of exponents. The lesson then introduces the power of a power rule, demonstrating how to multiply exponents when a base is raised to multiple powers. The tutorial further explains how to distribute exponents over multiplication and division within parentheses, using various examples to illustrate these concepts.

What operation do you perform on the exponents when multiplying numbers with the same base?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

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

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

If you have a base raised to a power and then raised to another power, what operation do you perform on the exponents?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

How many threes are there in total if you have 3 to the 4th power, five times?

• 4

• 12

• 5

• 20

What happens to the exponent when you have a number raised to a power inside parentheses, and the parentheses are raised to another power?

• The exponent is added to the base

• The exponent is multiplied by the outer exponent

• The exponent remains unchanged

• The exponent is divided by the outer exponent

In the expression 2 * 5 to the 7th power, what is the power of 2?

• 7

• 2

• 10

• 5

What is the result of distributing the exponent 4 over the bases 5 and 8 in the expression (5^3 * 8^2)^4?

• 5^3 * 8^2

• 5^4 * 8^4

• 5^12 * 8^8

• 5^7 * 8^6

When distributing an exponent over a division inside parentheses, what operation is performed on the exponents?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

In the expression (5^4 / 3^2)^3, what is the power of 5 after distributing the exponent?

• 5^7

• 5^8

• 5^12

• 5^6

What is the power of 3 in the expression (5^4 / 3^2)^3 after distributing the exponent?

• 3^6

• 3^5

• 3^4

• 3^8