Solve (10%)^6*sqrt[2]{100^6}=

$$( 10 \% ) ^ { 6 } \cdot \sqrt[ 2 ] { 100 ^ { 6 } } =$$

Evaluate

$$1$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\left(\frac{1}{10}\right)^{6}\sqrt[2]{100^{6}}$$

Calculate \frac{1}{10} to the power of 6 and get \frac{1}{1000000}.

$$\frac{1}{1000000}\sqrt[2]{100^{6}}$$

Calculate 100 to the power of 6 and get 1000000000000.

$$\frac{1}{1000000}\sqrt[2]{1000000000000}$$

Calculate \sqrt[2]{1000000000000} and get 1000000.

$$\frac{1}{1000000}\times 1000000$$

Multiply \frac{1}{1000000} and 1000000 to get 1.

$$1$$

Factor

$$1$$