Question

eevaluate (3^2×2^2)×(2/3)^-2​

Answer 1

Answer:

the answer of the question is 648

Answer 2

Answer:

81

Step-by-step explanation:

We need to evaluate (3² × 2²) × (2/3)-².

While solving the square, multiply the number with the same number not with the 2, but if the number is 2 itself then multiply with 2.

So, the square of 3 is 9 and of 2 is 4.

→ 3² = 3 × 3 = 9

→ 2² = 2 × 2 = 4

Similarly, while solving the power whose value is negative, reciprocal that number. So, we can write (2/3)-² as (3/2)².

IN SHORT:

→ (3² × 2²) × (2/3)-²

→ (9 × 4) × (3/2)²

→ 9 × 4 × 9/4

4 and 1/4 cancel out, we left with,

→ 9 × 9

→ 81