EXPONENTS AND POWERS HOLIDAY HOMEWORK
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- Hey can you help me review the rules of exponents?
- Yes! It can help both of us prepare for the test!
- Like 4 or x or y
- 1) Let's start with base. The base is the number or term or expression that is being multiplied.
- Yes!
- F: For example in 3^2, the base is 3 and the exponent is 2 W: Or in (x+1)^4, the base is x+1 and the exponent is 4
- 1) Remember the exponent is the number at the top of the base . It is the power to which it is being raised.
- Ahh! Yes! The Product Rule.
- 1) Now, when the base is the same and they are being multiplied, let's say a^6 * a^3 , then the exponents are added. So the answer would be a^6+^3 = a^9.
- 1) So when two exponents with the same base are being divided like b^10/b^ 7 the opposite is done. So it would be subtraction! b^10-^7 = b^3.
- Exactly! It is known as the quotient rule!
- 1) Please remind me what power to power rule is
- Well, if we have (x^3)^5, the power is being raised to a power so we multiply the exponents together. So it would be x ^3 * ^5 = x^15. I like to look at if they are separated by a parentheses.
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