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10 (a) Write down the value of $10^{rac{1}{3}}$ - Edexcel - GCSE Maths - Question 10 - 2017 - Paper 1

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10 (a) Write down the value of $10^{rac{1}{3}}$. (b) Find the value of $125^{rac{2}{3}}$.

Worked Solution & Example Answer:10 (a) Write down the value of $10^{rac{1}{3}}$ - Edexcel - GCSE Maths - Question 10 - 2017 - Paper 1

Step 1

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Answer

The value of $10^{ rac{1}{3}}$ represents the cube root of 10. Therefore, the answer is simply:

$10^{ rac{1}{3}}$

Step 2

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Answer

To find $125^{ rac{2}{3}}$ , we first compute the cube root of 125, which is:

$125^{ rac{1}{3}} = 5$

Next, we raise that result to the power of 2:

$5^2 = 25$

So, the value of $125^{ rac{2}{3}}$ is:

$125^{ rac{2}{3}} = 25$

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