Question

Which expression is equivalent to this expression?

11
6
613
610
616
619

Answer 1

6^10

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!

Answer 2

6^10

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