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2 years ago

Evaluate 3^2018 + 3^2015 / 3^2017 + 3^2016

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

5 0

The simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3

<h3>How to evaluate the expression?</h3>

The expression is given as:

3^2018 + 3^2015 / 3^2017 + 3^2016

Factor out 3^2015 in the expression

So, we have

3^2015(3^3 + 1)/3^2015(3^2 + 3)

Cancel out the common factor

(3^3 + 1)/(3^2 + 3)

Evaluate the exponents

(27 + 1)/(9 + 3)

This gives

28/12

Simplify

7/3

Hence, the simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3

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