Solve 2*3^2*5^2*2^3*5*3^3

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

Evaluate

$$486000$$

Solution Steps

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

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

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

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

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

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

Calculate 2 to the power of 4 and get 16.

$$16\times 3^{5}\times 5^{3}$$

Calculate 3 to the power of 5 and get 243.

$$16\times 243\times 5^{3}$$

Multiply 16 and 243 to get 3888.

$$3888\times 5^{3}$$

Calculate 5 to the power of 3 and get 125.

$$3888\times 125$$

Multiply 3888 and 125 to get 486000.

$$486000$$

Factor

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