How do you simplify $(100^(1/2))^-4$ ?

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Answer 1 · 2017-01-03T01:31:48

See full simplification process below

First step is to simplify the terms in the parenthesis:

$(100^(1/2))^-4 = 10^-4$

Next we can use this rule for exponents to further simplify:

$x^color(red)(a) = 1/x^color(red)(-a)$

Substituting gives:

$10^color(red)(-4) = 1/10^color(red)(- -4) = 1/10^4 = 1/(10 xx 10 xx 10 xx 10) =$

$1/10000$ or $0.0001$

How do you simplify (100^(1/2))^-4(100^(1/2))^-4?