Solve 2*5^4*3^2*2^3quad(45)

$$2 \cdot 5 ^ { 4 } \times 3 ^ { 2 } \times 2 ^ { 3 } \quad ( 45 )$$

Evaluate

$$4050000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$2^{4}\times 5^{4}\times 3^{2}\times 45$$

Calculate 2 to the power of 4 and get 16.

$$16\times 5^{4}\times 3^{2}\times 45$$

Calculate 5 to the power of 4 and get 625.

$$16\times 625\times 3^{2}\times 45$$

Multiply 16 and 625 to get 10000.

$$10000\times 3^{2}\times 45$$

Calculate 3 to the power of 2 and get 9.

$$10000\times 9\times 45$$

Multiply 10000 and 9 to get 90000.

$$90000\times 45$$

Multiply 90000 and 45 to get 4050000.

$$4050000$$

Factor

$$2^{4}\times 3^{4}\times 5^{5}$$