Solve 2*5-2-5/5^3*2^-2*5^3*2^4

$$\frac { 2 \cdot 5 - 2 - 5 } { 5 ^ { 3 } \cdot 2 ^ { - 2 } \cdot 5 ^ { 3 } \cdot 2 ^ { 4 } }$$

Evaluate

$$\frac{3}{62500}=0.000048$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\frac{2\times 5-2-5}{5^{6}\times 2^{-2}\times 2^{4}}$$

To multiply powers of the same base, add their exponents. Add -2 and 4 to get 2.

$$\frac{2\times 5-2-5}{5^{6}\times 2^{2}}$$

Multiply 2 and 5 to get 10.

$$\frac{10-2-5}{5^{6}\times 2^{2}}$$

Subtract 2 from 10 to get 8.

$$\frac{8-5}{5^{6}\times 2^{2}}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{5^{6}\times 2^{2}}$$

Calculate 5 to the power of 6 and get 15625.

$$\frac{3}{15625\times 2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{3}{15625\times 4}$$

Multiply 15625 and 4 to get 62500.

$$\frac{3}{62500}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5 ^ {6}} = 4.8 \times 10^{-5}$$