1. **State the problem:** Simplify the expression $$\left(s^{-\frac{4}{3}}\right)^5$$ assuming all variables are positive.
2. **Recall the exponentiation rule:** When raising a power to another power, multiply the exponents:
$$\left(a^m\right)^n = a^{m \times n}$$
3. **Apply the rule:**
$$\left(s^{-\frac{4}{3}}\right)^5 = s^{-\frac{4}{3} \times 5} = s^{-\frac{20}{3}}$$
4. **Rewrite with positive exponents:** Since the exponent is negative, use the rule:
$$a^{-m} = \frac{1}{a^m}$$
So,
$$s^{-\frac{20}{3}} = \frac{1}{s^{\frac{20}{3}}}$$
5. **Final answer:**
$$\boxed{\frac{1}{s^{\frac{20}{3}}}}$$
This is the simplified form with all positive exponents.
Exponent Simplification 1B0A0A
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