Enter a fraction, select the power, and quickly calculate the result.
In mathematics, a power represents the repeated multiplication of a number by itself. It is usually written as \( a^n \), where \( a \) is the base, and \( n \) is the exponent. Powers can be applied to integers, fractions, and mixed numbers.
Given a fraction and an exponent, the steps to calculate the power are as follows:
Solution:
Compute:
\( x = \left(\frac{3}{4}\right)^2 = \frac{3^2}{4^2} = \frac{9}{16}\)
Conclusion: The square of \(\frac{3}{4}\) is \(\frac{9}{16}\).
Solution:
Compute:
\( x = \left(\frac{2}{5}\right)^3 = \frac{2^3}{5^3} = \frac{8}{125}\)
Thus, the cube of \( \frac{2}{5} \) is \(\frac{8}{125}\).
Solution:
Convert to an improper fraction:
\( 1 \frac{1}{4} = \frac{5}{4}\)
Compute:
\( x = \left(\frac{5}{4}\right)^2 = \frac{5^2}{4^2} = \frac{25}{16}\)
Result: the square of \( 1 \frac{1}{4} \) is \(\frac{25}{16}\).