Solve 8.9876*10^9*25*10^-9/2.5*10^-3

$$8.9876 \times { 10 }^{ 9 } \times \frac{ 25 \times { 10 }^{ -9 } }{ 2.5 \times { 10 }^{ -3 } }$$

Evaluate

$$89876$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$8.9876\times 1000000000\times \frac{25\times 10^{-9}}{2.5\times 10^{-3}}$$

Multiply 8.9876 and 1000000000 to get 8987600000.

$$8987600000\times \frac{25\times 10^{-9}}{2.5\times 10^{-3}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$8987600000\times \frac{25}{2.5\times 10^{6}}$$

Calculate 10 to the power of 6 and get 1000000.

$$8987600000\times \frac{25}{2.5\times 1000000}$$

Multiply 2.5 and 1000000 to get 2500000.

$$8987600000\times \frac{25}{2500000}$$

Reduce the fraction \frac{25}{2500000} to lowest terms by extracting and canceling out 25.

$$8987600000\times \frac{1}{100000}$$

Multiply 8987600000 and \frac{1}{100000} to get 89876.

$$89876$$

Factor

$$22469\times 2^{2}$$