Exploring Exponent Laws and Their Applications

This video tutorial reviews exponent laws, including the product, quotient, power of a power, zero exponent, power of a product, and power of a quotient rules. It provides examples and practice problems to reinforce understanding, concluding with a challenge question to test comprehension.

What does the small number in the upper right of a base represent?

• Coefficient

• Power

• Exponent

• Base

If you multiply two numbers with the same base, what do you do with the exponents?

• Subtract them

• Multiply them

• Add them

• Divide them

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

• Subtract them

• Add them

• Divide them

• Multiply them

What is the result of any number raised to the power of zero?

• Zero

• The number itself

• One

• Negative one

In the power of a product rule, what happens to the exponent outside the parentheses?

• It is added to each exponent inside

• It is divided by each exponent inside

• It is subtracted from each exponent inside

• It is multiplied by each exponent inside

How do you simplify (x^3)^2 using the power of a power rule?

• x^8

• x^9

• x^6

• x^5

What is the simplified form of (a^2 * b^3)^4?

• a^6 * b^12

• a^8 * b^9

• a^8 * b^12

• a^6 * b^7

What is the result of (x^2 / y^3)^3?

• x^5 / y^6

• x^6 / y^9

• x^8 / y^7

• x^6 / y^8

How do you handle a negative exponent in a fraction like (a^-2 / b^-3)?

• Multiply the exponents

• Add the exponents

• Flip the fraction and change the signs of the exponents

• Subtract the exponents

In a complex problem involving multiple exponent laws, what is the first step?

• Multiply all exponents

• Distribute the outer exponent to each term inside

• Subtract all exponents

• Add all exponents