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,

$1/(16xx10^16)$

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