Subjects algebra

Exponent Evaluation

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Exponent Evaluation


1. **State the problem:** Evaluate the expression $$\frac{3^2 \times 3^5}{3^3}$$. 2. **Use the laws of exponents:** When multiplying powers of the same base, add the exponents. $$3^2 \times 3^5 = 3^{2+5} = 3^7$$ 3. **Rewrite the expression:** $$\frac{3^7}{3^3}$$ 4. **Use the laws of exponents for division:** When dividing powers of the same base, subtract the exponents. $$3^{7-3} = 3^4$$ 5. **Final answer:** $$3^4$$ is the evaluated form of the expression. Therefore, the correct choice is $$3^4$$.