Solve (9*10^-2)^2*(11*10^5)

$$( 9 \cdot 10 ^ { - 2 } ) ^ { 2 } \cdot ( 11 \cdot 10 ^ { 5 } )$$

Evaluate

$$8910$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$\left(9\times \frac{1}{100}\right)^{2}\times 11\times 10^{5}$$

Multiply 9 and \frac{1}{100} to get \frac{9}{100}.

$$\left(\frac{9}{100}\right)^{2}\times 11\times 10^{5}$$

Calculate \frac{9}{100} to the power of 2 and get \frac{81}{10000}.

$$\frac{81}{10000}\times 11\times 10^{5}$$

Multiply \frac{81}{10000} and 11 to get \frac{891}{10000}.

$$\frac{891}{10000}\times 10^{5}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{891}{10000}\times 100000$$

Multiply \frac{891}{10000} and 100000 to get 8910.

$$8910$$

Factor

$$2\times 3^{4}\times 5\times 11$$