Question

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Explanation:

1. $(4^2)^3=4^6$ follows the pattern of raising a power to a power, which matches rule 3.
2. $26^0=1$ follows the pattern of any non-zero number to the 0 power being 1, which matches rule 4.
3. $9^{-5}=\frac{1}{9^5}$ follows the pattern of converting a negative exponent to a positive reciprocal, which matches rule 5.
4. $5^2 \cdot 5^3=5^5$ follows the pattern of multiplying like bases and adding exponents, which matches rule 1.
5. $\frac{3^7}{3^2}=3^5$ follows the pattern of dividing like bases and subtracting exponents, which matches rule 2.

Answer:

• $(4^2)^3=4^6$: c. Power of a Power Rule
• $26^0=1$: e. Zero Exponent Rule
• $9^{-5}=\frac{1}{9^5}$: d. Negative Exponent Rule
• $5^2 \cdot 5^3=5^5$: a. Product Rule
• $\frac{3^7}{3^2}=3^5$: b. Quotient Rule