Exponents and Their Properties

This video tutorial covers the properties of integer exponents, including the product rule, three power rules, and the quotient rule. It explains how to apply these rules with examples and discusses the zero exponent rule. The tutorial also covers cross cancelling, order of operations, and the use of grouping symbols in calculations. The lesson concludes with a preview of the next topic on zero and negative exponents.

What is the product rule for exponents?

• Multiply the exponents

• Add the exponents

• Subtract the exponents

• Divide the exponents

If you have 4^2 * 4^3, what is the result using the product rule?

• 4^6

• 4^5

• 4^8

• 4^9

What does the power of a power rule state?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

Calculate (2^3)^4 using the power of a power rule.

• 2^7

• 2^12

• 2^6

• 2^9

What is the power of a product rule?

• Subtract the exponents

• Distribute the exponent to each base

• Add the exponents

• Multiply the exponents

How would you simplify (2*5)^3 using the power of a product rule?

• 2^3 * 5^3

• 2^5 * 5^2

• 2^2 * 5^3

• 2^3 * 5^2

What does the power of a quotient rule involve?

• Subtracting the exponents

• Applying the exponent to both numerator and denominator

• Multiplying the exponents

• Adding the exponents

Simplify (2/3)^4 using the power of a quotient rule.

• 2^5 / 3^5

• 2^2 / 3^2

• 2^3 / 3^3

• 2^4 / 3^4

What is the quotient rule for exponents?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

Using the quotient rule, simplify 2^5 / 2^3.

• 2^2

• 2^8

• 2^5

• 2^3