Question

Scientific notation of 10 to the power of negative 9 times (2times 10 square)squared

Answer 1

First, we expand $(2 \cdot 10^2)^2$ as a regular scientific notation expression.  By squaring each term separately, we find that this is equal to $4 \cdot 10^4$.

Then, we multiply the other term:  $4 \cdot 10^4 \cdot 10^{-9}$.  Note that multiplying exponents together results in adding the powers, so we have a final answer of $4 \cdot 10^{-5}$.