How do you simplify #(2.58times10^2)(3.6times10^6)#?

Answer 1

To simplify ((2.58 \times 10^2)(3.6 \times 10^6)), you multiply the coefficients (2.58 and 3.6) and add the exponents of 10.

(2.58 \times 3.6 = 9.288), and (10^2 \times 10^6 = 10^{2+6} = 10^8).

So, the result is (9.288 \times 10^8).

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Answer 2

Isaiah Anthony

See a solution process below:

First, rewrite this expression as:

#(2.58 xx 3.6)(10^2 xx 10^6) => 9.288 xx (10^2 xx 10^6)#

Now, use this rule of exponents to simplify the 10s terms:

#9.288 xx (10^color(red)(2) xx 10^color(blue)(6)) = 9.288 xx 10^(color(red)(2) + color(blue)(6)) =>#

#9.288 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.