MATH IS FUN!!! M8N1 Students will understand different representations of numbers including square roots, exponents, and scientific notation. Element: i. Simplify expressions containing integer exponents. We have come to ZAPP the Powers from the Earthlings. SPONGE.
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MATH IS FUN!!!M8N1 Students willunderstand different representations of numbers including square roots, exponents, and scientific notation.Element: i. Simplify expressions containing integer exponents.
We have come to ZAPP the Powers from the Earthlings
WHAT IS ANOTHER WAY TO WRITE
6 X 6 ?
REVIEW: WRITE A NUMBER FOR EACH
Natural or Counting
Let’s start by reviewing exponent laws!
34 x 36
(here both numbers have a base of 3)
Then … you keep the base the same and ADD the exponents
34 x 36 = 3 (4 + 6)
Then … you keep the base the same and you SUBTRACT the exponents
75٪ 73 = 7 (5 - 3)
Then … keep the base the same and MULTIPLY the exponents
(25)3 = 25x3
Express as a single power.
Except for 0, any base raised to the 0 power simplifies to be the number 1.
Note that the exponent doesn’t become 1, but the whole expression simplifies to be the number 1.
3^0 = 1
The exponent must still be applied to EVERYTHING inside the bracket!
(-x2)100 is the same as (-1x2)100
In this case, the 100 applies to the -1 AND the x2
(-1x2)100 = (-1)100(x2)100
You know how to simplify expressions with exponents, but sometimes you are asked to evaluate them after they are simplified.
BUT … what do you do with a negative exponent?!?
We know that when we multiply powers with the same base, we ADD the exponents …
(3-2)(3-1) = 3(-2 + -1)
How do we evaluate this??
Anytime you have a negative exponent, you can make it into a positive exponent by putting a 1 over number!
3-3 = 1
If we have the following:
5-7 remember we SUBTRACT the
5-7 = 5(-7 - -3) = 5-4
Now, we simply put 5-4 under a 1 1_
54 (it becomes positive)
And we can evaluate it as we would any positive exponent …
1 = 1
From page in your textbook: Growing, Growing, Growing Page 62, 5.2
Presentations: Students will present
How are the rules for multiplying and dividing powers of the same base alike? How are they different?
WORKSHEET: GOOD LUCK