Solve 90*0.61^2*929/60*10*10^-3

$$\frac{ 90 \times { 0.61 }^{ 2 } \times 929 }{ 60 \times 10 \times { 10 }^{ -3 } }$$

Evaluate

$$51852.135$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and -3 to get -2.

$$\frac{90\times 0.61^{2}\times 929}{60\times 10^{-2}}$$

Cancel out 30 in both numerator and denominator.

$$\frac{3\times 929\times 0.61^{2}}{2\times 10^{-2}}$$

Multiply 3 and 929 to get 2787.

$$\frac{2787\times 0.61^{2}}{2\times 10^{-2}}$$

Calculate 0.61 to the power of 2 and get 0.3721.

$$\frac{2787\times 0.3721}{2\times 10^{-2}}$$

Multiply 2787 and 0.3721 to get 1037.0427.

$$\frac{1037.0427}{2\times 10^{-2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\frac{1037.0427}{2\times \frac{1}{100}}$$

Multiply 2 and \frac{1}{100} to get \frac{1}{50}.

$$\frac{1037.0427}{\frac{1}{50}}$$

Divide 1037.0427 by \frac{1}{50} by multiplying 1037.0427 by the reciprocal of \frac{1}{50}.

$$1037.0427\times 50$$

Multiply 1037.0427 and 50 to get 51852.135.

$$51852.135$$

Factor

$$\frac{3 \cdot 929 \cdot 61 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 51852\frac{27}{200} = 51852.135$$