Question

Given that 3^-n=0.2
Find the value of (3^n)^2

Answer 1

Step-by-step explanation:

3^-n=0.2

1/3^n=0.2

1=0.2(3^n)

3^n=1/0.2

3^n=5

(3^n)²=5²

(3^n)²=25

Answer 2

The value of the given expression (3^n)^2 is; 25.

Evaluating the value of an expression

From the task content, it follows that;

• 3^-n=0.2

• 1/3^n=1/5

On this note; it follows that; 3^n = 5.

Consequently, the value of the expression (3^n)^2 is; (5)²

The value of the expression; (3^n)^2 is; 25.

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