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Use your calculator to compute the expression given.$$15.75^{-3 / 4}$$

0.126485

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 2

Exponential Functions

McMaster University

Harvey Mudd College

Lectures

00:14

Use a calculator to evalua…

00:48

Evaluate using a calculato…

01:17

Use your calculator to com…

00:34

Evaluate the expression wi…

00:18

01:23

01:02

01:08

01:05

Use the fact that $2^{1 / …

00:49

So if we want to evaluate this using a calculator, I'm just going to use the one that comes on my computer, just the standard windows calculator. Um, but you can use whatever is available to you. Um, so I'll just show you how to do it on this, and then hopefully it also translates to the one you have. So first I'm going to put down my base, which is going to be the 15.75 Now I'm going to come over here and hit this X to the y. So this is going to say this number. We just plugged in as our base. And then whatever I plug in after this will be my experiment and you might see appear how it's four. Manning is saying it's 15.75 and then we have this carrot symbol, so your calculator may also have that carrot instead of this next to the line. But it's the same thing now what we need to do, and we kind of need to be careful, especially if you have maybe a not as, like, nice calculator. We need to put parentheses down, since we're going to have a negative number and we're going to do division. So the first thing I'm going to do is put a three and come over here and make it a negative. Then divide that by four. Then we're going to close the parentheses. So this value is whatever is on the inside of the parentheses. And then if we want to exponential rate it, we just come down here and hit equals, and then that will give us our approximation for the answer. Um, and you just round this to how many of these small place you want, So they really don't tell us where to stop, because this is just approximation overall.

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