Solve 486*4^4*5^2*10*9div24^2*125*6^3

$$486 \times { 4 }^{ 4 } \times { 5 }^{ 2 } \times 10 \times 9 \div { 24 }^{ 2 } \times 125 \times { 6 }^{ 3 }$$

Evaluate

$$13122000000$$

Solution Steps

Calculate 4 to the power of 4 and get 256.

$$\frac{486\times 256\times 5^{2}\times 10\times 9}{24^{2}}\times 125\times 6^{3}$$

Multiply 486 and 256 to get 124416.

$$\frac{124416\times 5^{2}\times 10\times 9}{24^{2}}\times 125\times 6^{3}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{124416\times 25\times 10\times 9}{24^{2}}\times 125\times 6^{3}$$

Multiply 124416 and 25 to get 3110400.

$$\frac{3110400\times 10\times 9}{24^{2}}\times 125\times 6^{3}$$

Multiply 3110400 and 10 to get 31104000.

$$\frac{31104000\times 9}{24^{2}}\times 125\times 6^{3}$$

Multiply 31104000 and 9 to get 279936000.

$$\frac{279936000}{24^{2}}\times 125\times 6^{3}$$

Calculate 24 to the power of 2 and get 576.

$$\frac{279936000}{576}\times 125\times 6^{3}$$

Divide 279936000 by 576 to get 486000.

$$486000\times 125\times 6^{3}$$

Multiply 486000 and 125 to get 60750000.

$$60750000\times 6^{3}$$

Calculate 6 to the power of 3 and get 216.

$$60750000\times 216$$

Multiply 60750000 and 216 to get 13122000000.

$$13122000000$$

Factor

$$2^{7}\times 3^{8}\times 5^{6}$$