Solve (6*10^27)div(1.5*10^-27)

$$( 6 \times 10 ^ { 27 } ) \div ( 1.5 \times 10 ^ { - 27 } )$$

Evaluate

$$4000000000000000000000000000000000000000000000000000000$$

Solution Steps

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

$$\frac{6\times 10^{54}}{1.5}$$

Calculate 10 to the power of 54 and get 1000000000000000000000000000000000000000000000000000000.

$$\frac{6\times 1000000000000000000000000000000000000000000000000000000}{1.5}$$

Multiply 6 and 1000000000000000000000000000000000000000000000000000000 to get 6000000000000000000000000000000000000000000000000000000.

$$\frac{6000000000000000000000000000000000000000000000000000000}{1.5}$$

Expand \frac{6000000000000000000000000000000000000000000000000000000}{1.5} by multiplying both numerator and the denominator by 10.

$$\frac{60000000000000000000000000000000000000000000000000000000}{15}$$

Divide 60000000000000000000000000000000000000000000000000000000 by 15 to get 4000000000000000000000000000000000000000000000000000000.

$$4000000000000000000000000000000000000000000000000000000$$

Factor

$$2^{56}\times 5^{54}$$