Mastering the Laws of Exponents

The video tutorial by Mr. Ghetto covers the laws of exponents, including the product, quotient, power, negative, and zero exponent rules. Each rule is explained with examples, demonstrating how to simplify expressions involving exponents. The product rule involves adding exponents when multiplying like bases, while the quotient rule involves subtracting exponents when dividing like bases. The power rule requires multiplying exponents when raising a power to another power. Negative exponents are simplified by converting them to fractions, and any base raised to the zero power equals one.

What does the product rule of exponents state when multiplying two exponents with the same base?

• Divide the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

If you multiply x^4 by x^3 using the product rule, what is the result?

• 12x

• 7x

• x^12

• x^7

How do you apply the quotient rule when dividing two exponents with the same base?

• Multiply the exponents

• None of the above

• Add the exponents

• Subtract the exponents

Using the quotient rule, what is x^8 divided by x^3?

• x^5

• 11x

• 5x

• x^11

What is the result of applying the power rule to (x^3)^2?

• x^5

• x^9

• x^1

• x^6

What does (2x^3)^2 simplify to using the power rule?

• 8x^6

• 4x^6

• 2x^5

• 4x^5

How is a negative exponent such as x^-2 simplified according to the negative exponent rule?

• 1/x^2

• -x^2

• x^2

• -1/x^2

According to the negative exponent rule, how is 2x^-3 simplified?

• 2/x^3

• -2x^3

• 2x^3

• -2/x^3

What does any base raised to the zero power equal?

• 0

• Undefined

• The base

• 1

What is the value of 7^0 according to the zero exponent rule?

• Undefined

• 1

• 7

• 0