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18-12-2018
Mathematics

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A number to the 8th power divided by the same number to the 5th power is 64 what is the number?

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musiclover10045 musiclover10045

18-12-2018

Let the number = X

You have X^8 / X^5

When dividing two numbers with powers, Simplify the expression by subtracting the powers.

8-5=3

so X^8 / X^5 becomes x^3

Now you have x^3 = 64

To find x take the cubic root of 64:

X = ∛64

X = 4

The number is 4

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