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How to simplify #[1.168times10^26]^-5# in scientific notation?

Answer 1

Ethan Adkins

#4.6003×10^(-131)#

#[1.168×10^26]^(−5)# = #[11.68×10^25]^(−5)# i.e.

= #11.68^(-5)×(10^25)^(-5)#

= #1/11.68^5×1/(10^25)^5#

= #(1/(217377.3119))×10^(-125)#

= #(4.6003×10^(-6))×10^(-125)#

= #4.6003×10^(-131)#

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Answer 2

Isaiah Anthony

To simplify ( (1.168 \times 10^{26})^{-5} ) in scientific notation, you need to take the reciprocal of the number and then raise it to the power of -5. This will give you the simplified result.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.