Rational Exponents | MathHelp.com - Free Educational videos for Students in K-12 | Lumos Learning

## Rational Exponents | MathHelp.com - Free Educational videos for Students in k-12

#### Rational Exponents | MathHelp.com - By MathHelp.com

Transcript
00:0-1 To simplify 81 to the one half , remember from
00:03 the previous example that an exponent of one half means
00:08 that we take the square root of the base .
00:11 In other words , 81 to the one half means
00:15 the same thing as the square root of 81 ,
00:19 and the square root of 81 is nine , So
00:23 81 to the one half is nine .
Summarizer

#### DESCRIPTION:

In this example, were asked to write a to the negative 3rd squared in simplest form without negative or zero exponents. Remember that the power rule tells us that when we have a power taken to another power, such as a to the negative 3rd squared, we multiply the exponents. So we have a to the -3 times 2, or a to the negative 6th. Finally, remember from our study of negative exponents that a to the negative 6th can be written as 1 over a to the positive 6th. So a to the negative 3rd squared simplifies to 1 over a to the 6th.

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