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We don't like knocking people down to size, but we do like simplifying radicals. Join us?
It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.
Mathematical Reasoning Drill 2 Problem 4. Which of the following expressions tells how much he spends on rent per month?
ACT Math 4.1 Elementary Algebra 275 Views
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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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We don't like knocking people down to size, but we do like simplifying radicals. Join us?
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