Solve 5^4*7^5*2^9/8*49^*{5^2}

$$\frac{ { 5 }^{ 4 } \times { 7 }^{ 5 } \times { 2 }^{ 9 } }{ 8 \times { 49 }^{ } \times { 5 }^{ 2 } }$$

Evaluate

$$548800$$

Solution Steps

Cancel out 5^{2} in both numerator and denominator.

$$\frac{2^{9}\times 5^{2}\times 7^{5}}{8\times 49^{1}}$$

Calculate 2 to the power of 9 and get 512.

$$\frac{512\times 5^{2}\times 7^{5}}{8\times 49^{1}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{512\times 25\times 7^{5}}{8\times 49^{1}}$$

Multiply 512 and 25 to get 12800.

$$\frac{12800\times 7^{5}}{8\times 49^{1}}$$

Calculate 7 to the power of 5 and get 16807.

$$\frac{12800\times 16807}{8\times 49^{1}}$$

Multiply 12800 and 16807 to get 215129600.

$$\frac{215129600}{8\times 49^{1}}$$

Calculate 49 to the power of 1 and get 49.

$$\frac{215129600}{8\times 49}$$

Multiply 8 and 49 to get 392.

$$\frac{215129600}{392}$$

Divide 215129600 by 392 to get 548800.

$$548800$$

Factor

$$2^{6}\times 5^{2}\times 7^{3}$$