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The image shows the expression \( u^8 \div u^{15} \), with several answer options. To simplify this expression, apply the rule of exponents for division:

\[
\frac{u^8}{u^{15}} = u^{8 - 15} = u^{-7}.
\]

Thus, the correct simplified form is \( u^{-7} \), which corresponds to the answer option with this value.

Do you have any questions or would you like further details on this? Here are some related questions to deepen your understanding:

1. How do you convert a negative exponent into a positive exponent?
2. What is the general rule for multiplying or dividing exponents with the same base?
3. How would you simplify \( u^{-7} \) as a fraction?
4. What happens if the base \( u \) is 0 in this type of expression?
5. How do exponents behave when raised to other powers, like \( (u^8)^3 \)?

**Tip:** When simplifying expressions with exponents, always remember to subtract exponents when dividing like bases.

Learn how to simplify the expression u^8 ÷ u^15 by applying the laws of exponents. This problem covers exponent rules and power division concepts. Suitable for students in Grades 8-10.

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