Solve 10[(0,0001)^3*(100)^4]^2:(0,1)^7

$$10 [ ( 0,0001 ) ^ { 3 } \cdot ( 100 ) ^ { 4 } ] ^ { 2 } : ( 0,1 ) ^ { 7 }$$

Evaluate

$$1$$

Solution Steps

Calculate 0,0001 to the power of 3 and get 0,000000000001.

$$\frac{10\times \left(0,000000000001\times 100^{4}\right)^{2}}{0,1^{7}}$$

Calculate 100 to the power of 4 and get 100000000.

$$\frac{10\times \left(0,000000000001\times 100000000\right)^{2}}{0,1^{7}}$$

Multiply 0,000000000001 and 100000000 to get 0,0001.

$$\frac{10\times 0,0001^{2}}{0,1^{7}}$$

Calculate 0,0001 to the power of 2 and get 0,00000001.

$$\frac{10\times 0,00000001}{0,1^{7}}$$

Multiply 10 and 0,00000001 to get 0,0000001.

$$\frac{0,0000001}{0,1^{7}}$$

Calculate 0,1 to the power of 7 and get 0,0000001.

$$\frac{0,0000001}{0,0000001}$$

Divide 0,0000001 by 0,0000001 to get 1.

$$1$$

Factor

$$1$$