Solve 100=3*30*10^-32^20/(3.8)^2

$$100 = \frac { 3 \times 30 \times 10 ^ { - 3 } 2 ^ { 20 } } { ( 3.8 ) ^ { 2 } }$$

Verify

Solution Steps

Multiply 3 and 30 to get 90.

$$100=\frac{90\times 10^{-3}\times 2^{20}}{3.8^{2}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$100=\frac{90\times \frac{1}{1000}\times 2^{20}}{3.8^{2}}$$

Multiply 90 and \frac{1}{1000} to get \frac{9}{100}.

$$100=\frac{\frac{9}{100}\times 2^{20}}{3.8^{2}}$$

Calculate 2 to the power of 20 and get 1048576.

$$100=\frac{\frac{9}{100}\times 1048576}{3.8^{2}}$$

Multiply \frac{9}{100} and 1048576 to get \frac{2359296}{25}.

$$100=\frac{\frac{2359296}{25}}{3.8^{2}}$$

Calculate 3.8 to the power of 2 and get 14.44.

$$100=\frac{\frac{2359296}{25}}{14.44}$$

Express \frac{\frac{2359296}{25}}{14.44} as a single fraction.

$$100=\frac{2359296}{25\times 14.44}$$

Multiply 25 and 14.44 to get 361.

$$100=\frac{2359296}{361}$$

Convert 100 to fraction \frac{36100}{361}.

$$\frac{36100}{361}=\frac{2359296}{361}$$

Compare \frac{36100}{361} and \frac{2359296}{361}.

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