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Solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS .
3(8 - 2) + 4 = 22
Parentheses...
(15 - 6)² ÷ 3 - 3³
15 - 6 = 9
(9)² ÷ 3 - 3³
Exponent....
9² ÷ 3 - 3³
In this case you have two exponents. Always apply the steps from left to right
9² ÷ 3 - 3³
9² = 81
81 ÷ 3 - 3³
3³ = 27
81 ÷ 3 - 27
Division...
81 ÷ 3 - 27
81 ÷ 3 = 27
27 - 27
Subtraction...
27 - 27 = 0
0
Your mistake:
You subtracted 3 - 27 before dividing 81 by 3. Remember that according to the rules of PEMDAS division must come before subtraction
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
0
Step-by-step explanation:
[tex](15 - 6)^{2} \div 3 - {3}^{3} = {9}^{2} \div 3 - 27 = 81 \div 3 - 27 = \\ \\ 27 - 27 = 0[/tex]
According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], evaluate everything in grouping symbols first, then exponents [indices, roots, etcetera], Division & Multiplication from left to right, then Subtraction & Addition from right to left [or left to right as you know what you are doing correctly].
I am joyous to assist you anytime.