Question

(3 ^ - 1 * 6 ^ - 1) / (3 ^ 2)​

Answer 1

Answer:

(3⁻¹  × 6⁻¹) / 3² = 1/162

Step-by-step explanation:

The question is,

(3⁻¹  × 6⁻¹) / 3²

We have to find its value

X⁻ⁿ = 1/Xⁿ

Here X and n are any numbers.

So, 3⁻¹ = 1/3 and 6⁻¹ = 1/6

(3⁻¹  × 6⁻¹) / 3² = 1 / (3 × 6 × 3²)

= 1 / (18 × 9)  = 1/162

∴ (3⁻¹  × 6⁻¹) / 3² = 1/162

Answer 2

Answer:

solution of  (3⁻¹ x 6⁻¹ ) / (3)²  is  (1/162) or 0.006

Step-by-step explanation:

given that:

solve (3⁻¹ x 6⁻¹ ) / (3)²

let us solve the powers first:

(3⁻¹ x 6⁻¹ )  ÷  (3)²

 (1/3)(1/6)  ÷  9

=  ($1/18$)   ÷  9

now , ($1/18$)   ÷  9 becomes    1    ÷  162 ;

thus ,

$(3^-1)(6^-1)/(3^2)$ becomes   1    ÷  162

⇒   0.006