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

Question

3^-4 = {blank}

Answer 1

To solve $3^{-4}$, we can apply the Property of Negative Integer Exponents, which states that $a^{-n}=\frac{1}{a^n}$.

Using this property, we have:

$$3^{-4}=\frac{1}{3^4}$$

Next, we calculate $3^4$:

$$3^4=3\times 3\times 3\times 3=81$$

Now substituting this back in, we get:

$$3^{-4}=\frac{1}{81}$$

Thus, the answer is:

$$\frac{1}{81}$$