Solved on Jan 18, 2024

Find the missing value in the given expression: 3×22×8=3××8=×8=3 \times 2^{2} \times 8 = 3 \times \square \times 8 = \square \times 8 = \square.

STEP 1

Assumptions
1. We are given the expression 3×22×83 \times 2^{2} \times 8.
2. We need to simplify the expression step by step, filling in the blank squares with the intermediate results.

STEP 2

First, we need to calculate the exponentiation part of the expression.
222^{2}

STEP 3

Calculate the value of the exponentiation.
22=2×2=42^{2} = 2 \times 2 = 4

STEP 4

Now, replace the exponentiation in the original expression with its calculated value.
3×22×8=3×4×83 \times 2^{2} \times 8 = 3 \times 4 \times 8

STEP 5

Fill in the first blank square with the result of 222^{2}.
3××8=3×4×83 \times \square \times 8 = 3 \times 4 \times 8

STEP 6

Now, we multiply 33 by the result we just filled in the first square.
3×43 \times 4

STEP 7

Calculate the multiplication of 33 and 44.
3×4=123 \times 4 = 12

STEP 8

Replace the multiplication in the expression with its calculated value.
3×4×8=12×83 \times 4 \times 8 = 12 \times 8

STEP 9

Fill in the second blank square with the result of 3×43 \times 4.
×8=12×8\square \times 8 = 12 \times 8

STEP 10

Finally, we multiply 1212 by 88 to get the final result.
12×812 \times 8

STEP 11

Calculate the multiplication of 1212 and 88.
12×8=9612 \times 8 = 96

STEP 12

Fill in the last blank square with the result of 12×812 \times 8.
=96\square = 96
The final result of the expression 3×22×83 \times 2^{2} \times 8 is 9696.

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