Apply the Property of Negative Integer Exponents to solve 3^-4. The answer should not contain any exponent expression or decimals

3 answers

The Property of Negative Integer Exponents states that for any non-zero number 'a', a^(-n) = 1/(a^n).

Using this property, we can solve 3^(-4) as:
3^(-4) = 1/(3^4) = 1/81

Therefore, the answer is 1/81.
no its not
Apologies for the incorrect response.

Let's use the Property of Negative Integer Exponents to solve 3^(-4):

According to the property, any non-zero number 'a' raised to the power of -n is equal to 1 divided by 'a' raised to the power of n.

So, 3^(-4) = 1 / 3^4.

Now, let's calculate 3^4:
3^4 = 3 * 3 * 3 * 3 = 81

Therefore, 3^(-4) = 1 / 81.

The answer is 1/81.