3x^2 ∙ (1/7)x^-2

Answer 1

To simplify the expression 3x^2 ∙ (1/7)x^-2, you can use the rules of exponents:

First, multiply the coefficients: 3 ∙ (1/7) = 3/7.

Then, multiply the variables with the same base, x: x^2 ∙ x^-2 = x^(2 + (-2)) = x^0.

Any number raised to the power of 0 is equal to 1. Therefore, x^0 = 1.

So the simplified expression is (3/7) ∙ 1 = 3/7.