Solve frac{27^{2}*8^{2}*10^4}{5^3*3^5*2^6}

$$\frac { 27 ^ { 2 } \times 8 ^ { 2 } \times 10 ^ { 4 } } { 5 ^ { 3 } \times 3 ^ { 5 } \times 2 ^ { 6 } }$$

Evaluate

$$240$$

Solution Steps

Calculate 27 to the power of 2 and get 729.

$$\frac{729\times 8^{2}\times 10^{4}}{5^{3}\times 3^{5}\times 2^{6}}$$

Calculate 8 to the power of 2 and get 64.

$$\frac{729\times 64\times 10^{4}}{5^{3}\times 3^{5}\times 2^{6}}$$

Multiply 729 and 64 to get 46656.

$$\frac{46656\times 10^{4}}{5^{3}\times 3^{5}\times 2^{6}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{46656\times 10000}{5^{3}\times 3^{5}\times 2^{6}}$$

Multiply 46656 and 10000 to get 466560000.

$$\frac{466560000}{5^{3}\times 3^{5}\times 2^{6}}$$

Calculate 5 to the power of 3 and get 125.

$$\frac{466560000}{125\times 3^{5}\times 2^{6}}$$

Calculate 3 to the power of 5 and get 243.

$$\frac{466560000}{125\times 243\times 2^{6}}$$

Multiply 125 and 243 to get 30375.

$$\frac{466560000}{30375\times 2^{6}}$$

Calculate 2 to the power of 6 and get 64.

$$\frac{466560000}{30375\times 64}$$

Multiply 30375 and 64 to get 1944000.

$$\frac{466560000}{1944000}$$

Divide 466560000 by 1944000 to get 240.

$$240$$

Factor

$$2^{4}\times 3\times 5$$