Answer :
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]
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]
