simplify 2*3^-4/5-2

Answer 1

To simplify the expression 2 * 3^(-4/5) - 2, we can break it down into two parts and simplify each separately.

First, let's simplify 3^(-4/5). Negative exponents can be rewritten as fractions, where the numerator becomes 1 and the denominator becomes positive. So, 3^(-4/5) can be rewritten as 1 / 3^(4/5).

Next, let's simplify the whole expression 2 * (1 / 3^(4/5)) - 2.

Using the order of operations (PEMDAS/BODMAS), we simplify the exponent 4/5 first:
3^(4/5) ≈ 1.51573

Now let's simplify the entire expression:
2 * (1 / 1.51573) - 2 ≈ 1.32176 - 2 ≈ -0.67824

So, 2 * 3^(-4/5) - 2 is approximately equal to -0.67824.