Solve 24*10^3*9.8/2*2.15*10^0

$$\frac { 24 \times 10 ^ { 3 } \times 9.8 } { 2 \times 2.15 \times 10 ^ { 0 } }$$

Evaluate

$$\frac{2352000}{43}\approx 54697.674418605$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{9.8\times 12\times 10^{3}}{2.15\times 10^{0}}$$

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

$$\frac{9.8\times 12\times 10^{3}}{2.15}$$

Multiply 9.8 and 12 to get 117.6.

$$\frac{117.6\times 10^{3}}{2.15}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{117.6\times 1000}{2.15}$$

Multiply 117.6 and 1000 to get 117600.

$$\frac{117600}{2.15}$$

Expand \frac{117600}{2.15} by multiplying both numerator and the denominator by 100.

$$\frac{11760000}{215}$$

Reduce the fraction \frac{11760000}{215} to lowest terms by extracting and canceling out 5.

$$\frac{2352000}{43}$$

Factor

$$\frac{3 \cdot 2 ^ {7} \cdot 5 ^ {3} \cdot 7 ^ {2}}{43} = 54697\frac{29}{43} = 54697.67441860465$$