Question

9*3^-2 почему будет 1?

Answer 1

Ответ:

9*(3^(-2))?

Объяснение:

Если так, как я написала, то возводим 3 в -2 степень. 3 во 2 - это 9, но минус "превращает" ее в дробь - это 1/9. Таким образом умножаем 9 на 1/9 = 1

Answer 2

Ответ:

$9*3^{-2}=9*\frac{1}{3^{2}}=9*\frac{1}{9}=1$

Answer 3

Actually, the result of the expression $9 \times 3^{-2}$ is not equal to 1. Let's break it down step by step:

First, you need to apply the exponentiation before multiplication:

$3^{-2} = \frac{1}{3^2} = \frac{1}{9}$

Now, the expression becomes:

$9 \times \frac{1}{9}$

Now, since $9$ and $\frac{1}{9}$ are reciprocal of each other, when you multiply them, you get:

$9 \times \frac{1}{9} = 1$

So, the correct answer is 1, not because the result of $9 \times 3^{-2}$ is 1, but rather because $9 \times \frac{1}{9}$ simplifies to 1.