Solve {l}{10^5*10^9}{(-2)^3*(-2)^2}

$$\left. \begin{array} { l } { 10 ^ { 5 } \cdot 10 ^ { 9 } } \\ { ( - 2 ) ^ { 3 } \cdot ( - 2 ) ^ { 2 } } \end{array} \right.$$

Sort

$$-32,100000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 9 to get 14.

$$sort(10^{14},\left(-2\right)^{3}\left(-2\right)^{2})$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$sort(10^{14},\left(-2\right)^{5})$$

Calculate 10 to the power of 14 and get 100000000000000.

$$sort(100000000000000,\left(-2\right)^{5})$$

Calculate -2 to the power of 5 and get -32.

$$sort(100000000000000,-32)$$

To sort the list, start from a single element 100000000000000.

$$100000000000000$$

Insert -32 to the appropriate location in the new list.

$$-32,100000000000000$$

Evaluate

$$100000000000000,\ -32$$