The expression shown in the image is:

$w^5 \cdot w^{-7} \cdot w$

To simplify this, we apply the laws of exponents. Specifically, the rule:

$a^m \cdot a^n = a^{m+n}$

This means we can add the exponents of the same base (in this case, $w$).

$w^5 \cdot w^{-7} \cdot w^1 = w^{5 + (-7) + 1} = w^{-1}$

So the simplified expression is:

$w^{-1} = \frac{1}{w}$

Would you like more details on how exponent rules were applied or have any other questions?

Here are 5 related questions for practice:

1. How would you simplify $x^3 \cdot x^{-2} \cdot x^4$?
2. What is the result of $a^5 \cdot a^{-5}$?
3. Simplify $y^{-2} \cdot y^3 \cdot y^0$.
4. How do you simplify an expression like $z^7 \cdot z^{-3}$?
5. What is the meaning of a negative exponent?

Tip: Always add or subtract the exponents when multiplying terms with the same base.