Solve 2^2*3^3*5^2*2^4*3=

$$2 ^ { 2 } \cdot 3 ^ { 3 } \cdot 5 ^ { 2 } \cdot 2 ^ { 4 } \cdot 3 =$$

Evaluate

$$129600$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

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

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

$$2^{6}\times 3^{4}\times 5^{2}$$

Calculate 2 to the power of 6 and get 64.

$$64\times 3^{4}\times 5^{2}$$

Calculate 3 to the power of 4 and get 81.

$$64\times 81\times 5^{2}$$

Multiply 64 and 81 to get 5184.

$$5184\times 5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$5184\times 25$$

Multiply 5184 and 25 to get 129600.

$$129600$$

Factor

$$2^{6}\times 3^{4}\times 5^{2}$$