Math  /  Numbers & Operations

Question36632(36384)=\frac{36}{6} \cdot 32(36 \cdot 384)=

Studdy Solution

STEP 1

1. The expression involves basic arithmetic operations: division and multiplication.
2. The expression is 36632(36384)\frac{36}{6} \cdot 32(36 \cdot 384).
3. We need to evaluate the expression step by step.

STEP 2

1. Simplify the division.
2. Evaluate the multiplication inside the parentheses.
3. Multiply the results from the previous steps.

STEP 3

Simplify the division 366\frac{36}{6}.
366=6 \frac{36}{6} = 6

STEP 4

Evaluate the multiplication inside the parentheses 3638436 \cdot 384.
36384=13824 36 \cdot 384 = 13824

STEP 5

Multiply the result from Step 1 by 3232 and then by the result from Step 2.
63213824 6 \cdot 32 \cdot 13824
First, calculate 6326 \cdot 32:
632=192 6 \cdot 32 = 192
Then, multiply by 1382413824:
19213824=2654208 192 \cdot 13824 = 2654208
The value of the expression is:
2654208\boxed{2654208}

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