Answer :

GinnyAnswer
Sure! Let's solve the expression step by step.

We are given the expression:
[tex]\[ \left[3^3 - (-5)^2\right]^5 \div \left\{ \left[(1)^2\right]^2 \right\}^2 \][/tex]

### Step 1: Calculate [tex]\( 3^3 \)[/tex]

[tex]\[ 3^3 = 27 \][/tex]

### Step 2: Calculate [tex]\( (-5)^2 \)[/tex]

[tex]\[ (-5)^2 = 25 \][/tex]

### Step 3: Calculate [tex]\( 3^3 - (-5)^2 \)[/tex]

[tex]\[ 27 - 25 = 2 \][/tex]

### Step 4: Raise the result of Step 3 to the power of 5

[tex]\[ 2^5 = 32 \][/tex]

### Step 5: Calculate [tex]\( (1)^2 \)[/tex]

[tex]\[ (1)^2 = 1 \][/tex]

### Step 6: Raise the result of Step 5 to the power of 2

[tex]\[ 1^2 = 1 \][/tex]

### Step 7: Raise the result of Step 6 to the power of 2

[tex]\[ 1^2 = 1 \][/tex]

### Step 8: Divide the result of Step 4 by the result of Step 7

[tex]\[ \frac{32}{1} = 32 \][/tex]

So, the final result of the given expression [tex]\(\left[3^3 - (-5)^2\right]^5 \div \left\{ \left[(1)^2\right]^2 \right\}^2\)[/tex] is:

[tex]\[ \boxed{32} \][/tex]

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