To represent the expression 1 3 to the power of 3 as a fraction, we need to first interpret what this expression means. The term ‘1 3’ can be understood as the mixed number 1 and 3, which translates to the improper fraction.
1 can be expressed as the fraction 1/1, and 3 can be expressed as 3/1. To convert the mixed number into an improper fraction:
- Multiply the whole number by the denominator: 1 × 1 = 1.
- Add the numerator: 1 + 3 = 4.
Thus, 1 3 can be expressed as 4/1.
Now, raising this to the power of 3 involves cubing the_fraction:
- (4/1)3 = 43 / 13 = 64/1.
Therefore, the final representation of 1 3 to the power of 3 as a fraction is:
64