EXPONENTS Prepared by: Mr. Wilson Bulante
In
our previous lesson, we already learned that for any nonzero rational number ‘a’
and a natural number ‘n’, the product a x a x a x a x ... x a, that is, the
continued product of ‘a’ multiplied by itself n-times, is
written as a^n . It can be read as nth
power of a or “a raised to the power of n.” The rational number ‘a’ is called
the base and ‘n’ is called the exponent or index. This notation of writing by
multiplying itself several times is called the exponential notation or power
notation.
| Zero-Exponent Rule: a0 = 1, this says that anything raised to the zero power is 1. |  |
| Power Rule (Powers to Powers): (am)n = amn, this says that to raise a power to a power you need to multiply the exponents. There are several other rules that go along with the power rule, such as the product-to-powers rule and the quotient-to-powers rule. |  |
Negative Exponent Rule:  , this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents. Only move the negative exponents. |  |
| Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers. |  |
Quotient Rule:  , this says that to divide two exponents with the same base, you keep the base and subtract the powers. This is similar to reducing fractions; when you subtract the powers put the answer in the numerator or denominator depending on where the higher power was located. If the higher power is in the denominator, put the difference in the denominator and vice versa, this will help avoid negative exponents. |  |
Also, kindly VIEW this link: http://www.slideshare.net/lefkowitznina/properties-of-exponents. There are some examples on this slide show so that you can learn more about this Properties of Exponents.
Here are some examples of the following properties.
Zero-Exponent Rule:
Power Rule (Powers to Powers): (am)n = amn
Example1 (23)2 = 23·2 = 64
Negative Exponent Rule:
Example 1 2-3 = 1/23 = 0.125
Product Rule: am ∙ an = am + n
Example 1 23 · 24 = 23+4 = 128
Example 2 32 · 42 = (3·4)2 = 144
Quotient Rule:
Example 1 25 / 23 = 25-3 = 4
Example 2 43 / 23 = (4/2)3 = 8
Study these following videos:
To practice this lesson, you may download these pdf files:
- http://wveis.k12.wv.us/Teach21/CSO/Upload/LP641WS7.pdf?tsele1=2&tsele2=116&tsele3i=641
- http://www.mathwarehouse.com/classroom/worksheets/Exponents-worksheet-math.pdf
- http://sites.csn.edu/mwyatt/Fall2010/95_ws_exponents.pdf
Take note that our seatwork, and review for the quiz is still scheduled the moment our class is already resume soon. In the meantime, please do study the lessons that we had previously. I will just keep you posted. Keep safe! See you soon :)
Walang komento:
Mag-post ng isang Komento