Simplifying (3/4)³
To simplify the expression (3/4)³, we need to understand what it means.
Understanding Exponents
An exponent indicates how many times a base number is multiplied by itself. In this case, (3/4)³ means (3/4) multiplied by itself three times:
(3/4)³ = (3/4) * (3/4) * (3/4)
Simplifying the Multiplication
When multiplying fractions, we multiply the numerators and the denominators:
(3/4) * (3/4) * (3/4) = (3 * 3 * 3) / (4 * 4 * 4)
Calculating the Result
Finally, we simplify the multiplication:
(3 * 3 * 3) / (4 * 4 * 4) = 27 / 64
Therefore, (3/4)³ in its simplest form is 27/64.