How do you evaluate #2+6(9-3^2)-2#?

Question

Gabriel Agustin · Accepted Answer

The answer is #0#.

Use the order of operations #("PEMDAS")#. #color(red)"P"# = parentheses #color(blue)"E"# = exponents #color(orange)"MD"# = multiplying and dividing #color(violet)"AS"# = adding and subtracting ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #2+6 color(red)((9-3^2)) -2 color(white)"XXX"# Evaluate the #color(red)"P"#arentheses within parentheses, we start over with #"PEMDAS"# #(9-3^2) color(white)"XXXXXXX"# No #color(red)"P"#arentheses #(9-color(blue)(3^2)) color(white)"XXxxxxxxx"# Evaluate the #color(blue)"E"#xponents #(9-9) color(white)"xxXXxxxxxx"# No #color(orange)"M"#ultiplication or #color(orange)"D"#ivision #(color(violet)(9-9))color(white)"xxXXxxxxxx"# Evaluate the #color(violet)"A"#ddition and #color(violet)"S"#ubtraction #=(0)# #2 + 6(0) - 2 color(white)"XXXXXX"# No #color(blue)"E"#xponents #2 + color(orange)(6(0)) - 2 color(white)"XXXXXX"# Evaluate the #color(orange)"M"#ultiplication and #color(orange)"D"#ivision #color(violet)(2+0-2) color(white)"XXXXXXX/"# Evaluate the #color(violet)"A"#ddition and #color(violet)"S"#ubtraction #=0# Final Answer

Skylar Adams · Answer

undefined To evaluate the expression 2 + 6(9 - 3^2) - 2:

1. Start by calculating the exponent: 3^2 = 9.
2. Then, calculate the expression within the parentheses: 9 - 9 = 0.
3. Multiply 6 by the result of the expression inside the parentheses: 6 * 0 = 0.
4. Add 2 to the result obtained from step 3: 2 + 0 = 2.
5. Subtract 2 from the result obtained from step 4: 2 - 2 = 0.

Therefore, the value of the expression is 0.