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Anna11 [10]
4 years ago
11

a students work to simplify is shown below select the statemt which best applies to the sample.mathematical work

Mathematics
1 answer:
Molodets [167]4 years ago
5 0

Answer:

D. The work shown above is correct and x\times \sqrt[6]{x^{7}} may not be simplified further.

Step-by-step explanation:

The expression is given as,

\sqrt[6]{x^{13}}=\sqrt[6]{x^{6}\times x^{7}}

i.e. \sqrt[6]{x^{13}}=x\times \sqrt[6]{x^{7}}

Then, \sqrt[6]{x^{13}}=x\times \sqrt[6]{x^{7}}

Thus, we can see that above calculation is correct.

The right side of step 2 gives, \sqrt[6]{x^{6}\times x^{7}}=(x^{6})^\frac{1}{6}\times (x^{7})^\frac{1}{6}=x\times \sqrt[6]{x^{7}}

So, the work shown is correct and x\times \sqrt[6]{x^{7}} may not be further simplified.

Hence, option D is correct.

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