Solve 9(100)^-80*(100)^60/1000000

$$\frac { 9 ( 100 ) ^ { - 80 } \cdot ( 100 ) ^ { 60 } } { 1000000 }$$

Evaluate

$$\frac{9}{10000000000000000000000000000000000000000000000}=9 \cdot 10^{-46}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -80 and 60 to get -20.

$$\frac{9\times 100^{-20}}{1000000}$$

Calculate 100 to the power of -20 and get \frac{1}{10000000000000000000000000000000000000000}.

$$\frac{9\times \frac{1}{10000000000000000000000000000000000000000}}{1000000}$$

Multiply 9 and \frac{1}{10000000000000000000000000000000000000000} to get \frac{9}{10000000000000000000000000000000000000000}.

$$\frac{\frac{9}{10000000000000000000000000000000000000000}}{1000000}$$

Express \frac{\frac{9}{10000000000000000000000000000000000000000}}{1000000} as a single fraction.

$$\frac{9}{10000000000000000000000000000000000000000\times 1000000}$$

Multiply 10000000000000000000000000000000000000000 and 1000000 to get 10000000000000000000000000000000000000000000000.

$$\frac{9}{10000000000000000000000000000000000000000000000}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {46} \cdot 5 ^ {46}} = 9 \times 10^{-46}$$