Solve {l}{4^3*4^-1}{7^2div7^-5}{0-7}

$$\left. \begin{array} { l } { 4 ^ { 3 } \times 4 ^ { - 1 } } \\ { 7 ^ { 2 } \div 7 ^ { - 5 } } \\ { 0 - 7 } \end{array} \right.$$

Sort

$$-7,16,823543$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and -1 to get 2.

$$sort(4^{2},\frac{7^{2}}{7^{-5}},0-7)$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -5 from 2 to get 7.

$$sort(4^{2},7^{7},0-7)$$

Calculate 4 to the power of 2 and get 16.

$$sort(16,7^{7},0-7)$$

Calculate 7 to the power of 7 and get 823543.

$$sort(16,823543,0-7)$$

Subtract 7 from 0 to get -7.

$$sort(16,823543,-7)$$

To sort the list, start from a single element 16.

$$16$$

Insert 823543 to the appropriate location in the new list.

$$16,823543$$

Insert -7 to the appropriate location in the new list.

$$-7,16,823543$$

Evaluate

$$16,\ 823543,\ -7$$