Solve 10*80/100*80/100*80/100

$$10 \times \frac { 80 } { 100 } \times \frac { 80 } { 100 } \times \frac { 80 } { 100 }$$

Evaluate

$$\frac{128}{25}=5.12$$

Solution Steps

Multiply \frac{80}{100} and \frac{80}{100} to get \left(\frac{80}{100}\right)^{2}.

$$10\times \left(\frac{80}{100}\right)^{2}\times \frac{80}{100}$$

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

$$10\times \left(\frac{80}{100}\right)^{3}$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$10\times \left(\frac{4}{5}\right)^{3}$$

Calculate \frac{4}{5} to the power of 3 and get \frac{64}{125}.

$$10\times \frac{64}{125}$$

Express 10\times \frac{64}{125} as a single fraction.

$$\frac{10\times 64}{125}$$

Multiply 10 and 64 to get 640.

$$\frac{640}{125}$$

Reduce the fraction \frac{640}{125} to lowest terms by extracting and canceling out 5.

$$\frac{128}{25}$$

Factor

$$\frac{2 ^ {7}}{5 ^ {2}} = 5\frac{3}{25} = 5.12$$