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

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

Evaluate

$$5832000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

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

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

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

Calculate 5 to the power of 3 and get 125.

$$125\times 4^{3}\times 3^{6}$$

Calculate 4 to the power of 3 and get 64.

$$125\times 64\times 3^{6}$$

Multiply 125 and 64 to get 8000.

$$8000\times 3^{6}$$

Calculate 3 to the power of 6 and get 729.

$$8000\times 729$$

Multiply 8000 and 729 to get 5832000.

$$5832000$$

Factor

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