Question

Find the numerical equivalent of 3 the power of 9⋅3 the power of−5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the numerical equivalent of 3 to the power of 9 multiplied by 3 to the power of -5, we need to simplify the expression.

First, let's calculate the value of 3 to the power of 9:
3^9 = 19683

Next, let's calculate the value of 3 to the power of -5:
3^-5 = 1/(3^5) = 1/243

Finally, multiplying both values together:
19683 * (1/243) = 19683/243 ≈ 80.999

Therefore, the numerical equivalent of 3^9 * 3^-5 is approximately 80.999.

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the error. Let's correct it.

To find the numerical equivalent of 3 to the power of 9 multiplied by 3 to the power of -5, we need to use the rule of exponents which states that when multiplying numbers with the same base, we add their exponents.

3^9 * 3^-5 = 3^(9 + -5) = 3^4

Therefore, the numerical equivalent is 3^4 which is equal to 81.