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Sidana [21]
3 years ago
12

Divide x to the 1 half power divided by x to the 2 sevenths power.

Mathematics
2 answers:
Art [367]3 years ago
8 0

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

Hope this helped! Mark as Brainliest Please! :)))

aliina [53]3 years ago
6 0

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 - x^{\frac{1}{2} }

x to the 2 sevenths power - x^{\frac{2}{7}}

Divide x to the 1 half power divided by x to the 2 sevenths power - \frac{x^{\frac{1}{2}}}{x^{\frac{2}{7}}}

Solve,

=x^{\frac{1}{2}-\frac{2}{7}}

=x^{\frac{7-4}{14}}

=x^{\frac{3}{14}}

i.e. x to the 3 fourteenths power

Therefore, Option 2 is correct.

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