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Evaluate [tex][tex]$(2-3)^4(4)-9 \div 3$[/tex][/tex].

A. [tex][tex]$-7$[/tex][/tex]
B. [tex][tex]$-2$[/tex][/tex]
C. 1
D. 2

Sagot :

GinnyAnswer
Sure! Let's evaluate the given expression step by step: [tex]\((2-3)^4 \cdot 4 - \frac{9}{3}\)[/tex].

1. Calculate [tex]\((2-3)^4\)[/tex]:
[tex]\[ 2 - 3 = -1 \][/tex]
Now raise [tex]\(-1\)[/tex] to the power of 4:
[tex]\[ (-1)^4 = 1 \][/tex]

2. Multiply this result by 4:
[tex]\[ 1 \cdot 4 = 4 \][/tex]

3. Divide 9 by 3:
[tex]\[ \frac{9}{3} = 3 \][/tex]

4. Subtract the result from step 3 from the result in step 2:
[tex]\[ 4 - 3 = 1 \][/tex]

So, the final result of the expression [tex]\((2-3)^4 \cdot 4 - \frac{9}{3}\)[/tex] is:
[tex]\[ 1 \][/tex]

Thus, the correct answer is:
[tex]\[ \boxed{1} \][/tex]
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