Answer:
The answer is " [tex]\sqrt[8]{2^5}[/tex] ".
Step-by-step explanation:
Given value:
[tex]\to \frac{2 \frac{7}{8}}{2 \frac{1}{4}}[/tex]
They understand that, by using algebraic expressions laws, they subtract that inverse whenever we subtract powers with the same base. Every exponent's core is 2, therefore we subtract:
[tex]\to \frac{7}{8} - \frac{1}{4}[/tex]
They have a shared denominator. It's least that is equally divided
among 8 or 2 is 8:
[tex]\to \frac{7}{8} - \frac{2}{8}\\[/tex]
[tex]\to \frac{7-2}{8}\\\\\to \frac{5}{8}\\\\[/tex]
This gives us:
[tex]\to 2 \frac{5}{8}[/tex]
As rational notation is written as extremists, that root was its denominator as well as the power seems to be the numerator.
Which means 8 is the root and 5 the force that gives us:
[tex]\sqrt[8]{2^5}[/tex]
