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Use the laws of exponents to simplify the expressions.$$\left(25^{1 / 8}\right)^{4}$$

5

Calculus 1 / AB

Chapter 1

Functions

Section 5

Exponential Functions

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:47

Use the rules of exponents…

00:52

Use the power rule for exp…

00:48

Laws of ExponentsUse t…

02:03

Use the laws of exponents …

01:04

01:03

00:49

01:00

00:37

01:10

so simplify this problem. I'm going to use the rules of exponents. The first law of expose I'm going to use is that if I have a two X for a low power all race when other power I can simplify multiple simply multiply those two powers to simplify. So what I'm gonna do here is hoops. I'm gonna have 25 to the 1/8 times for 1/8 times for now, 1/8 times four is what half. So this is 25 to the 1/2. That's the same thing is the square root of 25. And we know that the square root of 25 is five, so this simplified down to be just five.

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