Solve {l}{5^8:5^2}{5^5*5^1}

$$\left. \begin{array} { l } { 5 ^ { 8 } : 5 ^ { 2 } } \\ { 5 ^ { 5 } \cdot 5 ^ { 1 } } \end{array} \right.$$

Sort

$$15625,\ 15625$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 8 to get 6.

$$sort(5^{6},5^{5}\times 5^{1})$$

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$sort(5^{6},5^{6})$$

Calculate 5 to the power of 6 and get 15625.

$$sort(15625,5^{6})$$

Calculate 5 to the power of 6 and get 15625.

$$sort(15625,15625)$$

The list values are already in order.

$$15625,15625$$

Evaluate

$$15625,\ 15625$$