Question

1) 3^2*4^3*12^2 9^2*6^3​

Answer 1

Объяснение:

1. 3²×4³×12² = 82944.

1) 3² = 3×3 = 9;

2) 4³ = 4×4×4 = 16×4 = 64;

3) 12² = 12×12 = 144;

4) 9×64×144 = 82944.

Ответ: 82944.

2. 9²×6³ =

1) 9² = 9×9 = 81;

2) 6³ = 6×6×6 = 36×6 = 216;

3) 81×216 = 17496.

Ответ: 17496.

Answer 2

To calculate the expression $3^2 \cdot 4^3 \cdot 12^2$ divided by $9^2 \cdot 6^3$, follow these steps:

Step 1: Calculate the numerator ($3^2 \cdot 4^3 \cdot 12^2$): $3^2 = 9$ $4^3 = 64$ $12^2 = 144$

Now, multiply these results together: $9 \cdot 64 \cdot 144 = 82944$

Step 2: Calculate the denominator ($9^2 \cdot 6^3$): $9^2 = 81$ $6^3 = 216$

Now, multiply these results together: $81 \cdot 216 = 17496$

Step 3: Divide the numerator by the denominator: $\frac{82944}{17496} = 4.743$ (rounded to three decimal places)

So, $3^2 \cdot 4^3 \cdot 12^2$ divided by $9^2 \cdot 6^3$ is approximately 4.743 when rounded to three decimal places.