Exploring the Law of Exponents

The video tutorial covers the laws of exponents, starting with a review of basic exponent concepts. It explains the product of powers rule, where exponents are added when multiplying powers with the same base. The power of a power rule is discussed, showing how to multiply exponents when raising a power to another power. The tutorial also covers powers of products, demonstrating how to distribute exponents across factors. Finally, the zero exponent rule is explained, stating that any number raised to the power of zero equals one.

What is the result of multiplying two powers with the same base?

• Multiply the exponents

• Add the bases

• Subtract the exponents

• Add the exponents

If you have x^3 * x^5, what is the simplified form?

• x^15

• x^2

• x^8

• 2x^8

When multiplying coefficients in expressions with the same base, what operation do we perform?

• Addition

• Subtraction

• Multiplication

• Division

What do you do with the coefficients when multiplying expressions with the same base?

• Multiply them

• Add them

• Leave them unchanged

• Divide them

What is the rule when you have a power to a power?

• Add the exponents

• Subtract the exponents

• Divide the exponents

• Multiply the exponents

For (x^2)^3, what is the correct simplification?

• x^6

• x^5

• 6x

• x^9

How do you find the power of a product?

• Subtract the exponents from each factor

• Distribute the exponent to each factor

• Add the exponents

• Multiply the exponents

How do you apply the exponent when you have a product raised to a power?

• Equally to all factors

• To the difference of the factors

• To the sum of the factors

• Only to the first factor

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

• The base number

• 0

• Undefined

• 1

What does 4^0 equal?

• Undefined

• 1

• 0

• 4