Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Which expression is equivalent to

( 4^(1/3) × 4^(2/6) ) ^(3/4)
( ---------÷------------ )
( 4^(5/6) )

*All the numbers in the division problem are in parenthesis with the ^(3/4) on the outside.*

A: (1/4)^(3/66)
B: (1/4)^(-3/66)
C:(1/4)^(-1/11)
D: (1/4)^(1/11)

Sagot :

abidemiokin

The simplified form of the expression is [tex]4^{-1/3}[/tex]

Indices and exponents

Given the indices expression as shown;
[tex]\frac{(4^{1/3}\times 4^{2/6} )^{3/4}}{4^{5/6}}[/tex]

Applying the product and quotient law of indices

[tex]\frac{(4^{1/3+1/3})^{3/4}}{4^{5/6}}\\\frac{(4^{2/3})^{3/4}}{4^{5/6}}\\\frac{4^{1/2}}{4^{5/6}}\\[/tex]

Take the difference in the power to have:

4^(1/2 - 5/6)

4^(-2/6)

[tex]4^{-1/3}[/tex]

Hence the simplified form of the expression is [tex]4^{-1/3}[/tex]

Learn more on indices here: https://brainly.com/question/10339517

#SPJ1

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.