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ACT Math: Intermediate Algebra Drill 4, Problem 4. Add these together.
ACT Math: Intermediate Algebra: Drill 5, Problem 4. Which expression is equivalent?
Number Sense: Simplify the expression 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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