SOLUTION: Simplify: 3^2-6^1-7^0 = 1/9 -1/6-7^0 = -1/18 -1 =-19/18 Please let me know if my work for solving the equation is correct. Thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: 3^2-6^1-7^0 = 1/9 -1/6-7^0 = -1/18 -1 =-19/18 Please let me know if my work for solving the equation is correct. Thank you.       Log On


   



Question 1067938: Simplify: 3^2-6^1-7^0
= 1/9 -1/6-7^0
= -1/18 -1
=-19/18
Please let me know if my work for solving the equation is correct. Thank you.

Answer by Edwin McCravy(20066) About Me  (Show Source):
You can put this solution on YOUR website!

No, you need to pay very close attention to the rules:

1. Operations inside the leftmost innermost parentheses are done first,
following the rules 2 through 7 below until no parentheses with 
operations inside remain.  
2. Copy everything else over.
   When no parentheses containing operations remain,
3. the leftmost exponent is done first,
  Copy everything else over.
  When no exponents remain,
4. The first leftmost multiplication or division is done first.
  Copy everything else over.
  When no multiplications or divisions remain,
5. The first leftmost addition or subtraction is done first.
  Copy everything else over.
  When no additions or subtractions remain, you are done.

You only have exponents and subtractions.

3%5E2-6%5E1-7%5E0

Do the leftmost exponent first. 3%5E2 is 9,
so replace the 3%5E2 by 9 and copy everything
else over:

9-6%5E1-7%5E0

Do the leftmost exponent first.
6%5E1 is 6, so replace the 6%5E1 by 6 and 
copy everything else over:

9-6-7%5E0

Do the leftmost exponent first.
7%5E0 is 1, so replace the 7%5E0 by 1 and 
copy everything else over:

9-6-1

There are only subtractions left.  Do the leftmost subtraction
The leftmost subtraction is 9-6. 9-6 is 3, so
replace the 9-6 by 3 and copy the rest over:

3-1

Finally, that's just

2

Edwin