use-the-laws-of-exponents-to-simplify-the-expressions-left251-8right4-2

Question

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

Lee Spence · Accepted Answer

so simplify this problem. I&#x27;m going to use the rules of exponents. The first law of expose I&#x27;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&#x27;m gonna do here is hoops. I&#x27;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&#x27;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.

Jeyasree R T · Answer

it&#x27;s simplified the given expression using true love exponents the Given Expressionists by poor for the full cover One way to we know that the bullet off powerful for exponents states that cape over half brother Guess can&#x27;t bitterness ape over our do? Yes. So, using this rule, we can try Thank you, my Expressionists. Fight over. Pour into one big toe that this piper for big toe on simplifying for them It is my square. It was five into fight. So it is 25 Hence the simplified expression is 25.

Jeyasree R T · Answer

we need to simplify the given expression using the bomber for experience. U N Expressionists he empowered 20 Quite raised to power, for we know that the politics of what explanation states that emporium raised to bother you It&#x27;s expressed this shape of a young into young that this get over young. Yeah, so let us use the rubber room for explains in the given expression. So keeping the common base lettuce multiply the experience So 25 into or so we get GM over 100 since the solution n&#x27;est ce yen are funded.

Ankit Gupta · Answer

According to the question, We have to simplify the expression fight Mr To Power one upon four multiplied by five ways to power on a grenade using the law exponents residency that what these terms have same days. Therefore here we have to simply at the X corner. So we will get five wrested power one upon court. Let&#x27;s long upon eight No. One upon four. That&#x27;s 1.8. Vic was toe See one Concord Can Britain? It&#x27;s to a bunny and you want to donate the Copa necklace one upon a simple equals. Three upon a But the final answer would be fight Mr Depowered me upon a But this is already quite answer.

Lee Spence · Answer

So this problem I got 16 square times, 16th the negative 1.75 And I need to simplify this using the rules of exponents. So first thing I&#x27;m gonna do is I&#x27;m gonna rewrite this in a way that doesn&#x27;t have a negative exponents. So this is something I like to do. Makes it easier. So if I want to bring this to the bottom, the fraction that&#x27;s the same thing is 16 to the 1.75 So I remember this because if you change the sign of the exponents, you crossed the line. So I cross the line chance to sign. That&#x27;s what I did. And then there&#x27;s a few things I can do here. One thing I&#x27;m gonna do is I&#x27;m gonna write this to and instead is to when it right it is 1.75 Let&#x27;s see more space, right? It&#x27;s 16 to the 1.75 plus 0.25 So that&#x27;s that&#x27;s allowed because 1.75 plus 0.252 and then on the bottom, I still have 16 to the 1.75 Then I&#x27;m going to use again a property the exponents. So if I have something like, um, likes ex City A plus B, that&#x27;s X city, a times x adobe. And that&#x27;s exactly what I&#x27;m gonna do here. So I&#x27;m gonna break up this plus and right, This is 16 the 1.75 times 16 to the 0.25 and I have This is 16 to the 1.75 again on the bottom. And the reason I did this because now these guys were gonna cancel. I&#x27;m left with 16 to the 0.25 and that&#x27;s the same thing. It&#x27;s 1/4 root of 16 because this is 16. So the 1/4 power that&#x27;s the same thing as the fourth root of 16 and the fourth root of 16 is too, because to the fourth, this 16. So this ugly thing we started with simplified all the way down to be equal to do

Amy Jiang · Answer

Okay, so let&#x27;s start by rewriting this are negative exponents as a positive exponent. So we get the following over one over and treated far won over eight. So that&#x27;s equal to were falling. We can hear it as the vision with this symbol. And then we get 1/3 to the power of one of rates. Okay, Now let&#x27;s rewrite our division as multiplication. We&#x27;re taking the reciprocal of this term. So that&#x27;s his creative power of one over a divided by one. Do we get the falling? Okay, now we see that we have the same base. Um, do some power so we can use our product rule. So that gives me raise your power of 6/8. Full 6/8. Six is three times to on. It is four times two. So we get 3/4, so we get the day to the power of 3/4

Problem

Use the laws of exponents to simplify the express…

Problem 15 Easy Difficulty

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

Answer

5

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Joel Hass, Christopher Heil, Przemyslaw Bogacki

University Calculus: Early Transcendentals

Anna Marie V.

Heather Z.

Kristen K.

Michael J.

Precalculus Review - Intro

Functions on the Real Line - Overview

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University Calculus: Early Transcendentals

Anna Marie V.

Heather Z.

Kristen K.

Michael J.

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.

Michael J.

Joel Hass, Christopher Heil, Przemyslaw Bogacki

University Calculus: Early Transcendentals