Solve 1/81*1/10*3*243/1*15625/1*frac{64}{1}

$$\frac { 1 } { 81 } \times \frac { 1 } { 10 } \times 3 \times \frac { 243 } { 1 } \times \frac { 15625 } { 1 } \times \frac { 64 } { 1 }$$

Evaluate

$$900000$$

Solution Steps

Multiply \frac{1}{81} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{81\times 10}\times 3\times \frac{243}{1}\times \frac{15625}{1}\times \frac{64}{1}$$

Do the multiplications in the fraction \frac{1\times 1}{81\times 10}.

$$\frac{1}{810}\times 3\times \frac{243}{1}\times \frac{15625}{1}\times \frac{64}{1}$$

Multiply \frac{1}{810} and 3 to get \frac{3}{810}.

$$\frac{3}{810}\times \frac{243}{1}\times \frac{15625}{1}\times \frac{64}{1}$$

Reduce the fraction \frac{3}{810} to lowest terms by extracting and canceling out 3.

$$\frac{1}{270}\times \frac{243}{1}\times \frac{15625}{1}\times \frac{64}{1}$$

Anything divided by one gives itself.

$$\frac{1}{270}\times 243\times \frac{15625}{1}\times \frac{64}{1}$$

Multiply \frac{1}{270} and 243 to get \frac{243}{270}.

$$\frac{243}{270}\times \frac{15625}{1}\times \frac{64}{1}$$

Reduce the fraction \frac{243}{270} to lowest terms by extracting and canceling out 27.

$$\frac{9}{10}\times \frac{15625}{1}\times \frac{64}{1}$$

Anything divided by one gives itself.

$$\frac{9}{10}\times 15625\times \frac{64}{1}$$

Express \frac{9}{10}\times 15625 as a single fraction.

$$\frac{9\times 15625}{10}\times \frac{64}{1}$$

Multiply 9 and 15625 to get 140625.

$$\frac{140625}{10}\times \frac{64}{1}$$

Reduce the fraction \frac{140625}{10} to lowest terms by extracting and canceling out 5.

$$\frac{28125}{2}\times \frac{64}{1}$$

Anything divided by one gives itself.

$$\frac{28125}{2}\times 64$$

Express \frac{28125}{2}\times 64 as a single fraction.

$$\frac{28125\times 64}{2}$$

Multiply 28125 and 64 to get 1800000.

$$\frac{1800000}{2}$$

Divide 1800000 by 2 to get 900000.

$$900000$$

Factor

$$2^{5}\times 3^{2}\times 5^{5}$$