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Description:
Elementary Algebra: Drill 4, Problem 1. Simplify the expression.
- Elementary Algebra / Applying properties of integer exponents and square roots
- Product Type / ACT Math
- Foreign Language / Spanish Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Arabic Subtitled
- Number and Quantity / Extend the properties of exponents to rational exponents
- Number and Quantity / Extend the properties of exponents to rational exponents
- Elementary Algebra / Properties of exponents and roots
Transcript
- 00:03
And another Shmoop de jour for you and your.. brain.
- 00:06
Simplify: a to the 8 and one-half power.
- 00:10
And here are the potential answers...
- 00:14
Alright. Do we realize that when we raise an exponent to a power with a fraction...
- 00:18
...we can simply multiply those numbers together?
Full Transcript
- 00:22
In this case we are raising 'a' to the 8th power, which is then raised to the one-half power.
- 00:26
So we can do the dirty work first.
- 00:27
8 times 1/2 equals 4.
- 00:30
Which means we're left with a to the 4th power...and that's it.
- 00:33
Answer D.
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