MHB Fractions as Exponents: 16 3/2

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The expression 16 raised to the power of 3/2 can be simplified to 16^(1/2) or (2√4)^3. It can also be represented as (2(4x4))^3. To verify calculations, using Wolfram Alpha is recommended, ensuring the input is formatted correctly as 16^[3/2]. Proper notation is crucial, particularly using brackets for fractions in exponentiation. Accurate simplification and verification methods are essential for understanding fractional exponents.
CSmith1
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1.) 16 3/2

=16 1/2
=(2 square root)^3
=(2(4x4)^3
=(2 square root 4)^3
 
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CSmith said:
1.) 16 3/2

=16 1/2
=(2 square root)^3
=(2(4x4)^3
=(2 square root 4)^3

Here's a quicker way to check your answer. Go to Wolfram Alpha and type in your problem. It will simplify it for you and you can see if your answer matches.

You need to be careful though when entering the problem. For example, your problem should be written there as 16^[3/2]. The ^ symbol means exponent. If there's a fraction, put the fraction inside [] brackets.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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