Simplify the expression by working with the exponents
When exponents are being divided they are subtracted from each other
To work with the exponents they need a common denominator of 14
So 1/2 converts to 7/14 and 2/7 converts to 4/14
7/14 - 4/14 = 3/14
Your answer is B x to the 3/14 power
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Answer:
Option 2- x to the 3 fourteenths power
Step-by-step explanation:
Given : Expression 'Divide x to the 1 half power divided by x to the 2 sevenths power'.
To find : Solve the expression ?
Solution :
Expression 'Divide x to the 1 half power divided by x to the 2 sevenths power'.
x to the 1 half power - [tex]x^{\frac{1}{2} }[/tex]
x to the 2 sevenths power - [tex]x^{\frac{2}{7}}[/tex]
Divide x to the 1 half power divided by x to the 2 sevenths power - [tex]\frac{x^{\frac{1}{2}}}{x^{\frac{2}{7}}}[/tex]
Solve,
[tex]=x^{\frac{1}{2}-\frac{2}{7}}[/tex]
[tex]=x^{\frac{7-4}{14}}[/tex]
[tex]=x^{\frac{3}{14}}[/tex]
i.e. x to the 3 fourteenths power
Therefore, Option 2 is correct.
