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Expressions Videos 14 videos
GED Math: Expression and Equations Drill 1, Problem 1. How much do the apples cost after tax?
GED Math: Expression and Equations Drill 3, Problem 5. Which part of the equation should be changed?
GED Math 5.3 Rational Numbers. What operation would make the following expression undefined?
CAHSEE Math 4.1 Number Sense 218 Views
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Description:
Number Sense: Drill Set 4, Problem 1. Simplify the expression.
Transcript
- 00:03
And here's your shmoop du jour...
- 00:05
Simplify the expression (8) to the -3 times (16) squared.
- 00:11
And here are the potential answers...
- 00:18
How in the world do we take a negative exponent?
- 00:21
The process isn't really that intuitive.
Full Transcript
- 00:23
It's like GIVING someone a bunch of taxes. Just doesn't make natural sense.
- 00:28
Let's start with the second part of this,
- 00:30
...square 16... so 16 times 16 which is 256. Done.
- 00:35
Now we have to figure out how we can negatively cube 8.
- 00:39
One thing that'll help is to realize that anything to a negative exponent can be rewritten
- 00:43
as 1 OVER that number...
- 00:45
...that is, 8 to the negative 3rd power is the same as 1 over just a normal positive 8... cubed.
- 00:52
So the first part is just 1 over 512.
- 00:58
Now we have 1 over 512 times 256... which is 256 over 512... or 1 over 2 or just one half.
- 01:09
And our answer is B.
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