Solve (4*10^3)^3*(-0.125*10^2)^2=

$$( 4 \times 10 ^ { 3 } ) ^ { 3 } \cdot ( - 0.125 \times 10 ^ { 2 } ) ^ { 2 } =$$

Evaluate

$$10000000000000$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\left(4\times 1000\right)^{3}\left(-0.125\times 10^{2}\right)^{2}$$

Multiply 4 and 1000 to get 4000.

$$4000^{3}\left(-0.125\times 10^{2}\right)^{2}$$

Calculate 4000 to the power of 3 and get 64000000000.

$$64000000000\left(-0.125\times 10^{2}\right)^{2}$$

Calculate 10 to the power of 2 and get 100.

$$64000000000\left(-0.125\times 100\right)^{2}$$

Multiply -0.125 and 100 to get -12.5.

$$64000000000\left(-12.5\right)^{2}$$

Calculate -12.5 to the power of 2 and get 156.25.

$$64000000000\times 156.25$$

Multiply 64000000000 and 156.25 to get 10000000000000.

$$10000000000000$$

Factor

$$2^{13}\times 5^{13}$$