In the following expression, what are the third and fourth operations?:
#[(8+5) (6-2) ^2] - (4*17/2)#

Question

Skylar Adams · Accepted Answer

third operation: #4^2=16#
fourth operation: #13xx16=208# Given #[(8+5)(6-2)^2]-(4*17/2)# Using PEDMAS To begin we must evaluate everything inside parentheses. At the top level we have two parenthetical expressions: #color(white)("XXX")[(8+5)(6-2)^2]" "and" "(4*17/2)# In this case we work from left to right. So we start with #color(white)("XXX")[(8+5)(6-2)^2]# and again we have two parenthetical expressions #color(white)("XXX")(8+5)" "and" "(6-2)# and evaluate from left to right. First #(8+5)=13# leaving #[13(6-2)^2]# Second #(6-2)=4# leaving #[13*4^2]# There are no more parentheses within the initial square brackets, so according to P E DMAS the next step is E: exponentiation. Third operation #4^2=16# leaving #[13 * 16]# Next according to PE DM AS is D ivision and M ultiplication (left-to-right) Fourth operation #[13 * 16]=208# This completes evaluation of the first set of parenthesized operations and we can move on to evaluating the second set.

Skylar Adams · Answer

#174#

It is difficult to number the operations......

Count the number of terms first. There can be more than one calculation in each step as long as they are within each term and the stronger operations are done before the weaker ones.

Parentheses are done first.

#color(blue)([(8+5)(6-2)^2])color(magenta)(-(4*17/2))" has 2 terms"#

=#color(blue)([(13)xx(4)^2])color(magenta)(-((cancel4^2xx17)/cancel2)#

=#color(blue)(13xx(16))color(magenta)(-34)#

=#color(blue)(208) - color(magenta)(34)#

=#174#

Noah Archer · Answer

undefined The third operation in the expression is the exponentiation of (6-2) raised to the power of 2. The fourth operation is the multiplication of 4 and 17, followed by division by 2.

In the following expression, what are the third and fourth operations?: #[(8+5) (6-2) ^2] - (4*17/2)#