Question

Simplify : 3^40+3^39÷3^41-3^40

Answer 1

3^40+3^39÷3^41-3^40

Answer 2

Answer:

13/33

Step-by-step explanation:

1- taking common factor from numerator and denominator as possible we can..

I.e 3^40 + 3^39 + 3^38 / 3^41 + 3^40- 3^39 = 3^38 (3²+3¹+1) / 3^39 (3²+3¹-1)

2 - shifting the common factor which in denominator and solving expression which are in bracket. I.e

3^38-39(9+3+1)/(9+3-1)

3- solving the expression i.e

3-¹*13/11

= 13/3*11 = 13/33

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