How do you simplify #(1.6times10^-5)(2.3times10^-3)#?

Answer 1

To simplify ( (1.6 \times 10^{-5})(2.3 \times 10^{-3}) ), you multiply the coefficients (1.6 and 2.3) and add the exponents of 10. This results in ( 3.68 \times 10^{-8} ).

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Answer 2

Avery Alexander

See a solution process below:

First, rewrite the expression as:

#(1.6 xx 2.3)(10^-5 xx 10^-3) => 3.68(10^-5 xx 10^-3)#

We can now use this rule of exponents to simplify the 10s terms:

#x^color(red)(a) xx x^color(blue)(b) => x^(color(red)(a) + color(blue)(b))#

#3.68(10^color(red)(-5) xx 10^color(blue)(-3) => 3.68 xx 10^(color(red)(-5) + color(blue)(-3)) =>#

#3.68 xx 10^-8#

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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.