use-the-laws-of-exponents-to-simplify-the-expressions-leftfrac2sqrt2right4-2

Question

Use the laws of exponents to simplify the expressions.
$$\left(\frac{2}{\sqrt{2}}\right)^{4}$$

Lee Spence · Accepted Answer

I want to simplify this problem, using the laws of exponents to do so. Since this is ah quotient inside the parentheses, I can assure you that for it to the top and bottom of the fraction. So I&#x27;ll have to to the fourth power over the square root of two. So the 4th 19 to simplify this. So I&#x27;m supposed to believe that to the fourth alone, and then I&#x27;m gonna simplify square root of two to the fourth power. One way I could do that is I can write that square to To is to to the 1/2 all of the fourth power. And I can use your another wall of exponents that tells me that they got caught off. This is to to the fourth and then on the bottom. This is I&#x27;m applying for over two. So this is to swear, because for over two is to now supply this, I can actually subtract the exponents because I have to do a power divided by two other power Someone s attracted. So if I subtract them, I&#x27;ll have four minus two. This is gonna get me two squared, and this will simplify all the way down before that&#x27;s my final answer

Jeyasree R T · Answer

we need to simplify the given expression using the rule of experience The given Expressionist two for minus for the wool over one way to the power off power rule for exponents states that a Buddha what ISS can bitterness ape over are indeed Yes. Using this room began joy that given Expressionists to over minus four into one. Great too. That is to cover minus or way too on simplifying for a guy to stoop over minus two. And we know that April minus young get indigenous one by a 1,000,000,000. So using this began right, This is one way so square that this one by two into two So this one before hence the simplified expression is one day full.

Lee Spence · Answer

in this problem, I&#x27;m going to simplify this expression using the laws of exponents. First thing I&#x27;m gonna do is use that a number of race to a power all raised to another power. I can simply multiply those powers to simplify. So I&#x27;ll have 13 times route two times grew to over to you. Simplify that. So that helps. You can put an invisible one under that route to it helps you figure out how toe simplify this. And if I simplify this route two times or two is to and then two times one is two. So I got 13 to the 2/2. This is the same thing as two over twos. Once of this 13 to the first power. When this is 13. S o. I have simplified the answer.

Lee Spence · Answer

okay, I want to simplify this problem, using the rules of exponents to do so. I&#x27;m first going to rewrite this as square to three times the square it or 12. Also the 1/2 power. And this is possible because these two quantities are multiplied and they&#x27;re both race the same power. So I&#x27;m basically this factor out the 1/2 power. Now, to simplify this further, I&#x27;m going to simplify what&#x27;s inside the parentheses. So since have a square root comes another square root, I can combine that. That&#x27;s the square root of three times 12. Also the 1/2 and then that three times 12 36. So this is the square root of 36. Also, the 1/2 power, I swear to 36 is six. So it&#x27;s this 6 1/2 power, and this doesn&#x27;t simplify much. This this is gonna be the square root of six. And that is my final answer.

Amy Jiang · Answer

Okay, So you asked A simplified of falling. So recall that if we have a over B part of negative and we could rewrite that as be over a three part. So we&#x27;ll do that for 1/2 to power of negative one. So we get native to over four to talk about four plus to over one the power of one. So yet native to you&#x27;re better for plus two. Okay, So two times two times two times two people, too. Four times four, which is equal to 16. So get negative 16 plus two, which is equal to negative 14.

Trevor Smith · Answer

simplify the following expression The square root of negative four squared. Okay, let&#x27;s first look inside of the square root first to see what we have to do to make it a little bit simpler. So let&#x27;s square Negative four. And that&#x27;s just gonna give us 16. So our overall expression is gonna be the square root of 16. And we should already know that this fruit of sixteens four So our expression that&#x27;s going equal for

Problem

Use the laws of exponents to simplify the express…

Problem 19 Easy Difficulty

Use the laws of exponents to simplify the expressions.
$$\left(\frac{2}{\sqrt{2}}\right)^{4}$$

Answer

4

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Joel Hass, Christopher Heil, Przemyslaw Bogacki

University Calculus: Early Transcendentals

Anna Marie V.

Heather Z.

Kristen K.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

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University Calculus: Early Transcendentals

Anna Marie V.

Heather Z.

Kristen K.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

Joel Hass, Christopher Heil, Przemyslaw BogackiUniversity Calculus: Early Transcendentals

Anna Marie V.

Heather Z.

Kristen K.

Samuel H.

Joel Hass, Christopher Heil, Przemyslaw Bogacki

University Calculus: Early Transcendentals