Solve 5|27^5*3^10-(5/4)^-2=

$$5 | 27 ^ { 5 } \cdot 3 ^ { 10 } - ( \frac { 5 } { 4 } ) ^ { - 2 } =$$

Evaluate

$$\frac{21182215236059}{5}=4.236443047 \cdot 10^{12}$$

Solution Steps

Calculate 27 to the power of 5 and get 14348907.

$$5|14348907\times 3^{10}-\left(\frac{5}{4}\right)^{-2}|$$

Calculate 3 to the power of 10 and get 59049.

$$5|14348907\times 59049-\left(\frac{5}{4}\right)^{-2}|$$

Multiply 14348907 and 59049 to get 847288609443.

$$5|847288609443-\left(\frac{5}{4}\right)^{-2}|$$

Calculate \frac{5}{4} to the power of -2 and get \frac{16}{25}.

$$5|847288609443-\frac{16}{25}|$$

Subtract \frac{16}{25} from 847288609443 to get \frac{21182215236059}{25}.

$$5|\frac{21182215236059}{25}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{21182215236059}{25} is \frac{21182215236059}{25}.

$$5\times \frac{21182215236059}{25}$$

Multiply 5 and \frac{21182215236059}{25} to get \frac{21182215236059}{5}.

$$\frac{21182215236059}{5}$$

Factor

$$\frac{2819387 \cdot 7513057}{5} = 4236443047211\frac{4}{5} = 4236443047211.8$$