How would I read this formula?

Question

$$m=\Bigg[\prod_{i=1}^n x_i\Bigg]^{\frac{1}{n}}$$

I do understand notation similar to this. Like summation formulas using sigma, but this is new to me. Also, how would I read this formula too?

$$\int_{a}^{b} f(x) \, dx$$

Answer 1

So $m = (x_1x_2x_3...x_n)^{\frac{1}{n}}$. Note that it's basically the same as sigma notation, except the operation is now multiplication instead of addition. Whereas with sigma notation, we would say "the sum from $i=1$ to $n$", we now say "the product from $i=1$ to $n$".

The second one would be read as "the integral of $f(x)$ evaluated from $a$ to $b$".

Answer 2

The first one means $(x_1x_2 \cdots x_n)^{\frac{1}{n}}$, multiplication. The second is the integral of $f(x)$ from $a$ to $b$.