choose the expression that is equal to 28.3.\n3³ + 27.2 - 6.8 + 2⁴ - 3.1\n3³ + 27.2 - (6.8 + 2⁴ - 3.1)\n3³ +…

Explanation:

Step1: Calculate powers

$3^{3}=3\times3\times3 = 27$, $2^{4}=2\times2\times2\times2=16$

Step2: Evaluate the first option

$3^{3}+27.2 - 6.8+2^{4}-3.1=27 + 27.2-6.8 + 16-3.1=(27+27.2)+16-(6.8 + 3.1)=54.2+16 - 9.9=60.3$

Step3: Evaluate the second option

$3^{3}+27.2-(6.8 + 2^{4}-3.1)=27+27.2-(6.8 + 16-3.1)=27+27.2-(19.7)=27+27.2 - 19.7=34.5$

Step4: Evaluate the third option

$[3^{3}+(27.2 - 6.8)]+2^{4}-3.1=[27+(27.2 - 6.8)]+16-3.1=(27 + 20.4)+16-3.1=47.4+16-3.1=28.3$

Step5: Evaluate the fourth option

$3^{3}+27.2-(6.8 + 2^{4})-3.1=27+27.2-(6.8 + 16)-3.1=27+27.2 - 22.8-3.1=28.3 - 22.8=5.5$

Answer:

$[3^{3}+(27.2 - 6.8)]+2^{4}-3.1$