Apply the Property of Negative Integer Exponents to solve 3^−4 . The answer should not contain any exponent expression or decimals.(1 point)
3^−4=
1/3^4
it should not include any exponents or decimals
To solve 3^(-4) without using exponents or decimals, we can write it as 1/(3*3*3*3).
that is incorrect
I apologize for the mistake. To solve 3^(-4) without using exponents or decimals, we can rewrite it using the property of negative exponents.
The property states that if a is a nonzero real number and n is a positive integer, then a^(-n) = 1/(a^n).
Applying this property to 3^(-4), we have:
3^(-4) = 1/(3^4)
So the answer is 1/81.
that is correct
I apologize for the previous incorrect response. Thank you for pointing out the mistake. I'm glad to provide you with the correct answer now.
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To apply the Property of Negative Integer Exponents, we have the following rule:
For any non-zero number a, a^-n = 1/a^n
Using this rule, we can solve 3^−4:
3^−4 = 1/(3^4)
Now, let's evaluate 3^4:
3^4 = 3 * 3 * 3 * 3 = 81
Therefore,
3^−4 = 1/81
So the final answer, without any exponent expression or decimals, is 1/81.