Question

PlEAsE HeLp WItH tHiS QUeStiOn!!! 25PtS!!!
Instructions:Drag each tile to the correct box.
Order the simplification steps of the expression below using the properties of rational exponents.

Answer 1

Given :   Number with powers  & roots  and Steps not in sequence to simplify

To find : Correct Sequence / order

Solution:

$\sqrt[4]{567x^9y^{11}}$

Below is the right Sequence

= $(567x^9y^{11})^{\frac{1}{4}}$

=  $(81 .7)^\frac{1}{4} .x^\frac{9}{4} .y^\frac{11}{4}$

=  $(81)^\frac{1}{4} .(7)^\frac{1}{4} .x^{(\frac{8}{4} + \frac{1}{4}) } .y^{(\frac{8}{4} + \frac{3}{4})}$

= $(3^4)^\frac{1}{4} .(7)^\frac{1}{4} .x^{(2 + \frac{1}{4}) } .y^{(2 + \frac{3}{4})}$

=  $3^1 .7^\frac{1}{4} . x^2 . x^{ \frac{1}{4} } .y^2 . y^{\frac{3}{4}}$

= $3 . x^2 .y^2 . (7^\frac{1}{4} . x^{ \frac{1}{4} } . y^{\frac{3}{4}} )$

=  $3x^2y^2 . (7xy^3)^\frac{1}{4}$

= $3x^2y^2 \sqrt[4]{7xy^3}$

Learn more:

2⁶ X 2² X 2⁵ ÷ 8³ : Simplify. - Brainly.in

https://brainly.in/question/5029115

2^n+4 - 2.2^n / 2.2^n+3 +2^-3 simplify

https://brainly.in/question/9212610

Answer 2

Answer:

dude it is a very hard question