How do you simplify #(4 times 10^8)^-2# and write the answer in scientific notation? Algebra Exponents and Exponential Functions Scientific Notation 1 Answer Diana Jan 27, 2016 #6.25 xx 10^-18# Explanation: The expression is equals to: #(4 xx 10^8)^(-2) = (1)/(4 xx 10 ^8)^2 =# #= (1)/4^2xx(1)/(10^16) = # # = (1)/16xx10^(-16) = 0.0625 xx 10 ^(-16)# In scientific notation: #0.0625 xx 10 ^(-16) = 6.25 xx 10^(-18)# Answer link Related questions How do you convert standard form to scientific notation? What is Scientific Notation? What are examples of scientific notation used in real life? How do you write numerical values of expressions written in scientific notation? When is the exponent in scientific notation negative? How do you write the numerical value of #1.75 \times 10^{-3}#? How do you write #0.000000027# in scientific notation? How do you write 12 in scientific notation? How do you multiply #(5×10^2)(7×10^5)#? How do you write 0.0000000000001 in scientific notation? See all questions in Scientific Notation Impact of this question 3498 views around the world You can reuse this answer Creative Commons License