How do you evaluate #(6.6times10^5)/(2times10^-3)#?

Answer 1

To evaluate (6.6 x 10^5) / (2 x 10^-3), first divide the numerical values: 6.6 / 2 = 3.3. Then, subtract the exponents: 5 - (-3) = 5 + 3 = 8. So, the result is 3.3 x 10^8.

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Answer 2

Nathan Axel

See a solution process below:

First, rewrite the expression as:

#(6.6/2) xx (10^5/10^-3) = 3.3 xx (10^5/10^-3)#

Now, using this rule for exponents we can complete the evaluation:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#3.3 xx (x^color(red)(5)/x^color(blue)(-3)) = 3.3 xx x^(color(red)(5)-color(blue)(-3)) = 3.3 xx x^(color(red)(5)+color(blue)(3)) =#

#3.3 xx 10^8#

Or, in standard terms, we can move the decimal place 8 places to the right because the exponent for the 10s term is positive:

#3.3 xx 10^8 = 330,000,000#

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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.