Solve 100=3*30*10^-32^20/(38)^2

$$100 = \frac { 3 \times 30 \times 10 ^ { - 3 } 2 ^ { 20 } } { ( 38 ) ^ { 2 } }$$

Verify

Solution Steps

Multiply 3 and 30 to get 90.

$$100=\frac{90\times 10^{-3}\times 2^{20}}{38^{2}}$$

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

$$100=\frac{90\times \frac{1}{1000}\times 2^{20}}{38^{2}}$$

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

$$100=\frac{\frac{9}{100}\times 2^{20}}{38^{2}}$$

Calculate 2 to the power of 20 and get 1048576.

$$100=\frac{\frac{9}{100}\times 1048576}{38^{2}}$$

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

$$100=\frac{\frac{2359296}{25}}{38^{2}}$$

Calculate 38 to the power of 2 and get 1444.

$$100=\frac{\frac{2359296}{25}}{1444}$$

Express \frac{\frac{2359296}{25}}{1444} as a single fraction.

$$100=\frac{2359296}{25\times 1444}$$

Multiply 25 and 1444 to get 36100.

$$100=\frac{2359296}{36100}$$

Reduce the fraction \frac{2359296}{36100} to lowest terms by extracting and canceling out 4.

$$100=\frac{589824}{9025}$$

Convert 100 to fraction \frac{902500}{9025}.

$$\frac{902500}{9025}=\frac{589824}{9025}$$

Compare \frac{902500}{9025} and \frac{589824}{9025}.

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