Answered

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Evaluate this exponential expression:

[tex][tex]\( 3 \cdot (5 + 4)^2 - 4^2 \)[/tex][/tex]

A. 15

B. 227

C. 46

D. 345

Sagot :

Greenpenguin06

Let's take this step-by-step:

To understand where to start, we must start by looking at what operation takes precedence:

  ==> we must look for PEMDAS (look at the image below)

Let's start with the expression within the parentheses:
[tex]3 * (5+4)^2-4^2 \\= 3*9^2-4^2[/tex]

Next, let's work on the exponents:
[tex]3*9^2 - 4^2 \\=3*81-16[/tex]

Now, let's do the multiplication:
[tex]3*81-16\\=243-16[/tex]

Now let's work on any addition/subtraction:
[tex]243-16\\=227[/tex]

Answer: 227

View image Greenpenguin06
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