1 / 12

Standard 2.0: Rules of Exponents

Juan Huerta Jesus Hernandez Raissa Rebollar. Standard 2.0: Rules of Exponents. Do Now & Objective . Objective: I will be able to master standard 2.0 (exponents) and score a 3 or a 4 on the exit slip Do Now: . Product of a power property.

fuller
Download Presentation

Standard 2.0: Rules of Exponents

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Juan Huerta Jesus Hernandez Raissa Rebollar Standard 2.0: Rules of Exponents

  2. Do Now & Objective • Objective: I will be able to master standard 2.0 (exponents) and score a 3 or a 4 on the exit slip Do Now:

  3. Product of a power property • Product of Powers Property: This property states that to multiply powers having the same base, add the exponents. Example : Product of Powers Property: 22 × 25 = 4 × 32 = 128 is the same as 22+5 = 27 = 128.

  4. Product of a power property • How do you simplify 72 × 76?If you recall the way exponents are defined, you know that this means:(7 × 7) × (7 × 7 × 7 × 7 × 7 × 7)If we remove the parentheses, we have the product of eight 7s, which can be written more simply as:78This suggests a shortcut: all we need to do is add the exponents!72 × 76 = 7(2 + 6) = 78In general, for all real numbers a, b, and c,ab × ac = a(b + c)To multiply two powers having the same base, add the exponents.

  5. Negative power property • A Negative Exponent of a number equals to the reciprocal of positive exponent of the number. • Example :5-2 × 52 = 5(-2 + 2) = 50

  6. Negative power property • You can use the product of powers property to figure this one out also. Suppose you want to know what 5-2 is.5-2 × 52 = 5(-2 + 2) = 50We know 52 = 25, and we know 50 = 1. So, this says that 5-2 × 25 = 1. What number times 25 equals 1? That would be its multiplicative inverse, 1/25.

  7. Power of a Quotient • To find the power of a quotient you subtract the exponents. This is similar to the power of a power property. Suppose you’re dividing two expressions with the same exponent, but different bases. By canceling common factors, you can see that:

  8. Fractional Exponent • In a fractional exponent, the numerator is the power to which the number should be taken and the denominator is the root which should be taken. For example, 125 means "take 125 to the fourth power and take the cube root of the result" or "take the cube root of 125 and then take the result to the fourth power." Order does not matter when evaluating exponents--it is usually easier to take the root first, and then take the power.

  9. Powers of a Property • Powers of a Power Property: This property states that the power of a power can be found by multiplying the exponents. • Ex: (22)3 = 43 = 64

  10. Zero Product Property • Zero Product Property: The Zero Product Property simply states that if ab = 0, then either a = 0 or b = 0 (or both). A product of factors is zero if and only if one or more of the factors is zero. • Ex: (x-5)(x-3) = 0 then (x-5) = 0 or (x-3) = 0

  11. Exit Slip

More Related