find
16^1/3
without the use of calculator plzzzz help i dont know it
Well! The method is similar to long division. If you have learned how to do square roots by hand, this method is just an extension of tat same algorithm.
But to explain it here is not a good use of resources. If you google
cube root by hand
you will find many articles and videos on how to extract cube roots by hand. Good hunting.
Or, you can just start approximating, but a calculator will come in very handy.
For example, you know that
2^3 = 8
3^3 = 27
So, ∛16 will be between 2 and 3. Next, note that
2.5^3 = 15.625
2.6^3 = 17.576
2.51^3 = 15.813
2.52^3 = 16.003
and so on
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To find the value of 16 raised to the power of one-third (16^(1/3)) without using a calculator, you can use the concept of calculating the cube root.
The cube root of a number x, denoted as ∛x, is a value that, when raised to the power of 3, equals x. In this case, we need to find the cube root of 16.
Since 2 cubed (2^3) equals 8, and 3 cubed (3^3) equals 27, we know that the cube root of 8 is approximately 2, and the cube root of 27 is approximately 3.
Since we're looking for the cube root of 16, which is between 8 and 27, we can approximate it using this knowledge. Considering that 16 is closer to 8, we can assume that the cube root of 16 is closer to 2 than 3.
Knowing that, we can now express 16^(1/3) as an approximation:
16^(1/3) ≈ 2
Therefore, the approximate value of 16 raised to the power of one-third is 2.