Question

1)3²*4³*12²/9²*6³2)5²*6⁴*12²/15²*9³​

Answer 1

Ответ:

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Объяснение:

Answer 2

Let's simplify these expressions step by step:

1. $3^2 \cdot 4^3 \cdot 12^2 / 9^2 \cdot 6^3$

First, calculate the powers:

$3^2 = 9$ $4^3 = 64$ $12^2 = 144$ $9^2 = 81$ $6^3 = 216$

Now, plug these values into the expression:

$9 \cdot 64 \cdot 144 / 81 \cdot 216$

Next, simplify the fractions:

$9 \cdot 64 \cdot 144 / 81 \cdot 216 = (9/81) \cdot (64/216) \cdot 144$

Reduce the fractions:

$(1/9) \cdot (4/27) \cdot 144$

Now, multiply the numbers:

$(1/9) * (4/27) * 144 = (4/243) * 144$

Now, multiply $4/243$ by 144:

$(4/243) * 144 = 16/3$

So, $3^2 \cdot 4^3 \cdot 12^2 / 9^2 \cdot 6^3 = 16/3$.

2. $5^2 \cdot 6^4 \cdot 12^2 / 15^2 \cdot 9^3$

First, calculate the powers:

$5^2 = 25$ $6^4 = 1296$ $12^2 = 144$ $15^2 = 225$ $9^3 = 729$

Now, plug these values into the expression:

$25 \cdot 1296 \cdot 144 / 225 \cdot 729$

Next, simplify the fractions:

$25 \cdot 1296 \cdot 144 / 225 \cdot 729 = (25/225) \cdot (1296/729) \cdot 144$

Reduce the fractions:

$(1/9) \cdot (64/27) \cdot 144$

Now, multiply the numbers:

$(1/9) * (64/27) * 144 = (64/243) * 144$

Now, multiply $64/243$ by 144:

$(64/243) * 144 ≈ 38.4$

So, $5^2 \cdot 6^4 \cdot 12^2 / 15^2 \cdot 9^3 ≈ 38.4$.