Final answer:
To evaluate the quantity 3 squared times 3 to the power of negative 5, first calculate each part separately and then multiply the results together. Simplify the resulting fraction to get the final answer of 1/27.
Step-by-step explanation:
To evaluate the quantity 3 squared times 3 to the power of negative 5, we first calculate each part separately. 3 squared is equal to 3 × 3 = 9. 3 to the power of negative 5 is equal to 1 divided by 3 to the power of 5, which is 1 divided by (3 × 3 × 3 × 3 × 3) = 1/243.
Now, we have 9 times 1/243, which can be simplified by multiplying the numerators and denominators together. 9 times 1 is 9, and 243 times 1 is 243. So the expression is equal to 9/243.
To simplify further, notice that both 9 and 243 can be divided by 9. 9 divided by 9 is equal to 1, and 243 divided by 9 is equal to 27. So the final answer is 1/27.