- #1
CSmith1
- 39
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1.) 16 3/2
=16 1/2
=(2 square root)^3
=(2(4x4)^3
=(2 square root 4)^3
=16 1/2
=(2 square root)^3
=(2(4x4)^3
=(2 square root 4)^3
CSmith said:1.) 16 3/2
=16 1/2
=(2 square root)^3
=(2(4x4)^3
=(2 square root 4)^3
Fractions as exponents refer to a mathematical expression in which a fraction is used as the exponent. In this case, 16 is the base and 3/2 is the exponent.
"16 3/2" can be read as "16 to the power of three halves" or as "the cube root of 16".
The value of "16 3/2" can be calculated by first converting the fraction exponent to a decimal. In this case, 3/2 is equivalent to 1.5. Then, the expression becomes 16^1.5 which is approximately equal to 31.749.
Using fractions as exponents allows for the calculation of roots, such as square roots and cube roots, which cannot be easily represented using whole number exponents. This is particularly useful in mathematical and scientific applications.
Yes, fractions can be used as exponents for any positive number. However, the resulting value may not always be a real number and may require the use of complex numbers.