First, convert the mixed number into an improper fraction.
To convert a mixed number into an improper fraction, find the product of the whole number and the denominator and then add the numerator.
Then the denominator will be the original denominator from the mixed number.
[tex] 1 \frac{1}{3} [/tex] = [tex] \frac{4}{3} [/tex]
Now the fraction [tex] \frac{4}{3} [/tex] is being raised to the third power negative.
When an exponent is negative, it means to take the reciprocal of the number then raise it to the power of the absolute value of the exponent.
In a mathematical expression: [tex] x^{-n} = \frac{1}{x^n} [/tex]
So, first take the reciprocal of [tex] \frac{1}{3} [/tex] which is 3.
Then raise 3 to the absolute value of the exponent. The exponent is -3.
The absolute value of -3 is 3.
3^3 = 3 * 3 * 3 = 27
So, the answer is 27.
