https://file.aiquickdraw.com/mathbot/file/1727441088108bzixnbvt.jpg

The given expression is:
\[
tu \cdot tu^{-3}
\]

To simplify this expression:

### Step 1: Apply the laws of exponents
Recall that when multiplying like bases, you add the exponents:
\[
(tu)^1 \cdot (tu)^{-3} = (tu)^{1 + (-3)} = (tu)^{-2}
\]

### Step 2: Express as a single term
\[
(tu)^{-2} = \frac{1}{(tu)^2}
\]

Since we want the answer without a denominator, the final answer can remain as \((tu)^{-2}\).

### Final Answer
\[
(tu)^{-2}
\]

Would you like more details or have any questions?

### Related Questions
1. How would you simplify \( x^2 \cdot x^{-5} \)?
2. What is the result of \( (a^3b^{-2}) \cdot (a^{-1}b^4) \)?
3. How do you handle expressions with exponents when dividing, such as \( \frac{x^5}{x^3} \)?
4. Can you simplify \( (3x^2y)^3 \cdot (xy^{-1})^{-2} \)?
5. What happens when you multiply two negative exponents together, such as \( a^{-2} \cdot a^{-3} \)?

### Tip
When multiplying terms with the same base, always add the exponents, and when dividing, subtract the exponents.

Simplify. Express your answer as a single term, without a denominator. tu · tu^(-3)

Learn how to simplify the expression tu · tu^(-3) by applying exponent rules. This problem covers algebraic concepts such as multiplying exponents and handling negative exponents. Suitable for students in Grades 8-10.

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