Which expression is equivalent to this expression?
11
6
613
610
616
619
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Answer:
6^10
Step-by-step explanation:
6^2 * 6^11
-----------------
6^3
First simplify the numerator. We know a^b*a^c = a^(b+c)
6^(2+11)
-----------------
6^3
6^(13)
-----------------
6^3
Then a^b / a^c = a^(b-c)
6^(13-3) = 6^10
Answer:
6^10
Step-by-step explanation:
To solve this you need to remember 2 things.
First off, multipication is addition with exponents.
And secondly, division is subtraction with expoinents.
So on the top we have 6^2*6^11
So this is really 6^11+2
=
6^13
Now we need to divide by 6^3:
6^13/6^3
And this would tecnically be:
6^13-3
=
6^10
So the expression 6^10 is your answer.
Hope this helps!