One way is to simply type it into the Google or Yahoo! search box above. Both search engines also double as calculators. I get 2.49135802 from Google.
To get an exact answer, simply follow order-of operations. Exponents are applied before any other operators, so
3 - (3^5 - 37)/(5*3^4) = 3 - (243 - 37)/(5*81)
The expressions in parentheses have just one operator each, so they can be evaluated now:
= 3 - 206/405
Reduce fractions, if possible. With a bit of work, you can discover that 206 and 405 have no common factors. (GCD(206,405) = 1) So 205/405 is already in least terms.
To subtract the fraction from an integer, rewrite the integer as a fraction with the same denominator:
3 - 206/405 = 1215/405 - 206/405 = 1009/405
That's the algebra-style improper fraction. That's equal to the mixed number 2 199/405.
To get an exact answer, simply follow order-of operations. Exponents are applied before any other operators, so
3 - (3^5 - 37)/(5*3^4) = 3 - (243 - 37)/(5*81)
The expressions in parentheses have just one operator each, so they can be evaluated now:
= 3 - 206/405
Reduce fractions, if possible. With a bit of work, you can discover that 206 and 405 have no common factors. (GCD(206,405) = 1) So 205/405 is already in least terms.
To subtract the fraction from an integer, rewrite the integer as a fraction with the same denominator:
3 - 206/405 = 1215/405 - 206/405 = 1009/405
That's the algebra-style improper fraction. That's equal to the mixed number 2 199/405.
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3 - (3^5 - 37)/[(5)*3^4]; exponents first
3 - [(3 * 3 * 3 * 3 * 3) - 37]/[(5) * 81]; simplify
3 - [243 - 37]/[405]; simplify
3 - (206)/(405); put 3 over 1
3/1 - 206/405; make a common denominator (405) in this case
1215/405 - 206/405; simplify
1009/405 <=======Answer
Blessings
3 - [(3 * 3 * 3 * 3 * 3) - 37]/[(5) * 81]; simplify
3 - [243 - 37]/[405]; simplify
3 - (206)/(405); put 3 over 1
3/1 - 206/405; make a common denominator (405) in this case
1215/405 - 206/405; simplify
1009/405 <=======Answer
Blessings
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This is just your order of operations...PEMDAS, Parentheses - Exponents - Mult - Div - Add - Sub
"Please Excuse My Dear Aunt Sally"
So, first do what is inside the parentheses according to the same order:
exponents first: 3^5 = 243, 3^4 = 81
3 - (243 - 37)/(5*81) next --> 3 - 206/405 next is div --> 3 - 0.5086 and finally sub -->
2.491
"Please Excuse My Dear Aunt Sally"
So, first do what is inside the parentheses according to the same order:
exponents first: 3^5 = 243, 3^4 = 81
3 - (243 - 37)/(5*81) next --> 3 - 206/405 next is div --> 3 - 0.5086 and finally sub -->
2.491
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3 - (3^5 - 37)/(5*3^4)
Since there is no variables, just do PEMDAS
3 - (243 - 37)/(5 x 81)
3 - (206) / ( 405)
1215/405 - 206/405 = 1009/405
Reduce
1009/405 = 2 199/405
The answer is 2 199/405
Since there is no variables, just do PEMDAS
3 - (243 - 37)/(5 x 81)
3 - (206) / ( 405)
1215/405 - 206/405 = 1009/405
Reduce
1009/405 = 2 199/405
The answer is 2 199/405
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Follow the order of operations rules.
Inside parentheses first
3 - (3^5 - 37)/(5*3^4) = 3 - (243 - 37)/(5*81) = 3 - 206/405 = (3*405 - 206)/405 = 1009/405
Inside parentheses first
3 - (3^5 - 37)/(5*3^4) = 3 - (243 - 37)/(5*81) = 3 - 206/405 = (3*405 - 206)/405 = 1009/405
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3 - (3^5 - 37)/(5)(3^4)
3 - (243 - 37)/(5)(81)
3 - 206/405
2 199/405 or 1009/405 or aproximately 2.49
3 - (243 - 37)/(5)(81)
3 - 206/405
2 199/405 or 1009/405 or aproximately 2.49
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3^5/5•3^4 = 3/5
37/5•3^4 = 37/405
3/5 = 243/405
so we have 3 - (243-37)/405
= 3 - 206/405
= 2&199/405
37/5•3^4 = 37/405
3/5 = 243/405
so we have 3 - (243-37)/405
= 3 - 206/405
= 2&199/405
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3 - (243 - 37)/(5 * 81)
3 - (206)/(405)
2 206/405 is about as precise as I can get
3 - (206)/(405)
2 206/405 is about as precise as I can get
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3 - (243 - 37)/(5 *81)
3- 206/405
3 - 0.51
2.49
3- 206/405
3 - 0.51
2.49