Candice S.
asked • 02/15/16someone help me with math!
Simplify this expression, and enter your answer in scientific notation
(3×104)(8×1010)
––––––––––––––
4×105
4×105
(btw this is a fraction)
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1 Expert Answer
All scientific notation is written in the form "Nx10n " where "1≤|N|<10". Recall the Laws of Exponents for multiplying and dividing exponents...
[(3x104)(8x1010)]/(4x105)...original problem
[(3x104)(8x1010)]/(4x105)...original problem
First, multiply the terms in the numerator...
(3x104)(8x1010)
=(3x8)(104x1010)...regroup "N" values,
exponents
=24x(104+10).........apply Laws of Exponents
=24x1014...............simplify
Rewrite the expression with simplified numerator...
(24x1014)/(4x105)........rewritten expression
=(24÷4)(1014÷105)...regroup "N" values,
exponents
=6x(1014-5)...........apply Laws of Exponents
=6x109..................simplify
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Norbert J. M.
I suggest / recommend that you "keystroke input" your submitted expression into your calculator using the "EE" or "exponent" keys. You will find that the step-by-step solution given to be accurate.
02/17/16