Exploring Laws of Exponents: Multiplication and Power of a Power

The video tutorial covers the rules for multiplying exponents and the power of a power rule. It explains how to handle expressions with multiple terms in parentheses. The key takeaway is that when multiplying exponents with the same base, you add the exponents, and when raising a power to another power, you multiply the exponents.

What does x^2 * x^6 simplify to?

• x^4

• x^12

• x^3

• x^8

How do you simplify a^4 * a^10?

• a^20

• a^6

• a^14

• a^40

What is the rule for multiplying exponents with the same base?

• Multiply the exponents

• Divide the exponents

• Add the exponents

• Subtract the exponents

If you have x^a * x^b, how do you simplify it?

• x^(a/b)

• x^(a-b)

• x^(a*b)

• x^(a+b)

What does (c^4)^3 simplify to?

• c^7

• c^12

• c^3

• c^64

How do you simplify (k^5)^4?

• k^25

• k^10

• k^9

• k^20

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

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

How do you simplify (x^2y^3z)^2?

• x^5y^8z^3

• x^2y^3z

• x^3y^6z^2

• x^4y^6z^2

What does the exponent tell us in terms of base?

• The number of times to make a copy of the base

• The number of times to divide the base

• The number of times to subtract the base

• The number of times to add the base

What does (x^2 * y^3 * z)^2 simplify to?

• x^4y^6z^2

• x^2y^3z

• x^5y^8z^3

• x^3y^6z^4