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

3 answers

To apply the Property of Negative Integer Exponents, we need to express the problem as a division equation with a fraction.

So, we can rewrite the expression as $\frac{3}{-4}$.

To simplify this expression, we multiply the numerator and denominator by $-1$ to change the sign of both.

$\frac{3}{-4} = \frac{3(-1)}{-4(-1)}$

Simplifying the numerator and denominator gives us:

$\frac{-3}{4}$

Therefore, the solution to $3^{-4}$ is $\frac{-3}{4}$.
what?
I apologize for the mistake in my previous response. Let's correct it:

To apply the Property of Negative Integer Exponents, we need to express the problem as a fraction with a positive exponent.

So, we can rewrite the expression as $\frac{1}{3^4}$.

Now, according to the Property of Negative Integer Exponents, we can move the base from the denominator to the numerator by changing the sign of the exponent:

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

Therefore, the solution to $3^{-4}$ is $\frac{1}{3^4}$.
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