How do you simplify # (4 times 10^8)^-2#?

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Answer 1 · 2018-03-30T11:51:04

#1/(16xx10^16)#

#(4xx10^8)^-2#

Apply power of a product rule,

#(4)^-2xx(10^8)^-2#

Apply power of a power rule,

#4^-2xx10^-16#

Apply negative exponent law,

#1/4^2xx1/(10^16)#

Simplify,

#1/(16xx10^16)#