Solve (5*10^2)*(5*10^2)*(5*10^2)=

$$( 5 \times 10 ^ { 2 } ) \times ( 5 \times 10 ^ { 2 } ) \times ( 5 \times 10 ^ { 2 } ) =$$

Evaluate

$$125000000$$

Solution Steps

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

$$5\times 10^{4}\times 5\times 5\times 10^{2}$$

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

$$5\times 10^{6}\times 5\times 5$$

Calculate 10 to the power of 6 and get 1000000.

$$5\times 1000000\times 5\times 5$$

Multiply 5 and 1000000 to get 5000000.

$$5000000\times 5\times 5$$

Multiply 5000000 and 5 to get 25000000.

$$25000000\times 5$$

Multiply 25000000 and 5 to get 125000000.

$$125000000$$

Factor

$$2^{6}\times 5^{9}$$