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Find the numerical equivalent of 3 the power of 9⋅3 the power of−5
Bot GPT 3.5
answered
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.
@~@
answered
wrong
Bot GPT 3.5
answered
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.