Question

What is the product of `x^(-1/2) * x^(-2/7)`?

Answer 1

The answer is `x^(-11/14)`

Explanation:

Whenever you multiply two powers that have the same base (the `x` in this case), you can write the result as a single power using an exponent that is the sum of the two exponents in the product.

`x^a*x^b = x^(a+b)`

in other words.

So, `x^(-1/2)*x^(-2/7) = x^((-1/2+(-2/7))`

Looking just at the exponents:

`(-1/2) + (-2/7) = (-7/14) + (-4/14) = -11/14`

So, the final answer is `x^(-11/14)`