Respuesta :

Here,

a=4

b=6

c=2

Then,

[tex]3a + {b}^{2} c \\ = 3 \times 4 + {6}^{2} 2 \\ = 12 + 12 \times 2 \\ = 24 \times 2 \\ = 36[/tex]

Hence, The solution is 36.

Answer:

[tex] \huge{ \fbox{ \sf{84}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \sf{ \: Given}} : [/tex]

[tex] \sf{a = 4 \: , \: b = 6 \: , \: and \: c \: = \: 2}[/tex]

[tex] \underline{ \sf{To \: find}} : \sf{Value \: of \: the \: given \: expression} [/tex]

[tex] \sf{ \: \bigstar{ \sf{ \: 3a + {b}^{2} c}}}[/tex]

[tex] \text{ Step \: 1} : \sf{Plug \: the \: values \: of \: a \: b \: and \: c}[/tex]

[tex] \mapsto{ \sf{3 \: * \: 4 \: + {6}^{2} \: * \: 2}}[/tex]

[tex] \text{Step \: 2} : \sf{Evaluate \: the \: power : {6}^{2} }[/tex]

[tex] \mapsto{ \sf{3 \: * \: 4 \: + \: 36 \: * \: 2}}[/tex]

[tex] \text{Step \: 3} : \sf{Multiply \: the \: numbers : 3 \: by\: 4}[/tex]

[tex] \mapsto{ \sf{12 + 36 \: * \: 2}}[/tex]

[tex] \text{Step \: 4} : \sf{Multiply \: the \: numbers : 36 \: by \: 2}[/tex]

[tex] \mapsto{ \sf{12 + 72}}[/tex]

[tex] \text{Step \: 5} : \sf{Add \: the \: numbers : \: 12 \: and \: 72}[/tex]

[tex] \mapsto{ \sf{84}}[/tex]

Note: Follow PEMDAS

Parentheses , Exponents , Multiplication , Division , Addition , Subtraction

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

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