Solve frac{8^{10}*6^5*2^20}{4^27*3^3}

$$\frac { 8 ^ { 10 } \times 6 ^ { 5 } \times 2 ^ { 20 } } { 4 ^ { 27 } \times 3 ^ { 3 } }$$

Evaluate

$$18$$

Solution Steps

Calculate 8 to the power of 10 and get 1073741824.

$$\frac{1073741824\times 6^{5}\times 2^{20}}{4^{27}\times 3^{3}}$$

Calculate 6 to the power of 5 and get 7776.

$$\frac{1073741824\times 7776\times 2^{20}}{4^{27}\times 3^{3}}$$

Multiply 1073741824 and 7776 to get 8349416423424.

$$\frac{8349416423424\times 2^{20}}{4^{27}\times 3^{3}}$$

Calculate 2 to the power of 20 and get 1048576.

$$\frac{8349416423424\times 1048576}{4^{27}\times 3^{3}}$$

Multiply 8349416423424 and 1048576 to get 8754997675608244224.

$$\frac{8754997675608244224}{4^{27}\times 3^{3}}$$

Calculate 4 to the power of 27 and get 18014398509481984.

$$\frac{8754997675608244224}{18014398509481984\times 3^{3}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{8754997675608244224}{18014398509481984\times 27}$$

Multiply 18014398509481984 and 27 to get 486388759756013568.

$$\frac{8754997675608244224}{486388759756013568}$$

Divide 8754997675608244224 by 486388759756013568 to get 18.

$$18$$

Factor

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