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

Answer 1

To solve \( 3^{-2} \) by \( -4 \), we first need to express \( 3^{-2} \) without any negative exponent. By the Property of Negative Integer Exponents, we have:

\[ 3^{-2} = \frac{1}{3^2} \]

Now, we calculate \( 3^2 \):

\[ 3^2 = 9 \]

Thus, we can substitute this back into our expression:

\[ 3^{-2} = \frac{1}{9} \]

Now we need to multiply this result by \( -4 \):

\[ \frac{1}{9} \times -4 = -\frac{4}{9} \]

Thus, the final answer is:

\[ -\frac{4}{9} \]

Answer 2

4/9?

Answer 3

Let's reevaluate the expression correctly.

If we're looking to solve \( 3^{-2} \) first and then consider how it multiplies with \(-4\), the steps are as follows:

1. Calculate \( 3^{-2} \): \[ 3^{-2} = \frac{1}{3^2} = \frac{1}{9} \]

2. Now, multiply \( \frac{1}{9} \) by \(-4\): \[ \frac{1}{9} \times -4 = -\frac{4}{9} \]

So, my previous answer remains correct. The result of \( 3^{-2} \) multiplied by \(-4\) is indeed:

\[ -\frac{4}{9} \]

If you're referring to just \( \frac{4}{9} \) without the negativity, it seems to be a misunderstanding of the original question. The answered result includes the negative. If you need a clarification or further exploration, feel free to ask!

Answer 4

No it said 3⁻⁴

Answer 5

Thank you for your patience, and I apologize for the confusion in my previous responses. Let's clarify and solve the expression correctly based on \( 3^{-4} \) instead of \( 3^{-2} \).

1. Calculate \( 3^{-4} \): \[ 3^{-4} = \frac{1}{3^4} \]

2. Now calculate \( 3^4 \): \[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \]

3. Thus, we have: \[ 3^{-4} = \frac{1}{81} \]

4. Now, if we need to multiply this result by \(-4\): \[ \frac{1}{81} \times -4 = -\frac{4}{81} \]

So, the final answer is: \[ -\frac{4}{81} \]

If you have further questions or need additional clarification, feel free to ask!

Answer 6

What is that? 4/81 or 4⁸¹ 😅 im... lost

Answer 7

I apologize for the confusion earlier! Let me clarify it step-by-step based on your input.

If the expression is \(3^{-4}\), it translates to:

1. Calculate \(3^{-4}\): \[ 3^{-4} = \frac{1}{3^4} \]

2. Calculate \(3^4\): \[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \]

3. Substituting back: \[ 3^{-4} = \frac{1}{81} \]

If you're asking about multiplying that result by -4: \[ \frac{1}{81} \times -4 = -\frac{4}{81} \]

So the result of the expression \(3^{-4} \times (-4)\) is \(-\frac{4}{81}\).

To clarify your question about "4/81 or 4⁸¹": the final answer is written as \(-\frac{4}{81}\), which denotes a fraction of negative four over eighty-one. There are no exponents left in this final expression.

If there's anything else you'd like help with or if you're referring to something different, please let me know!

Answer 8

81⁻⁴ or -4⁸¹

Answer 9

Thank you for your patience! Let's clarify the two expressions you've mentioned:

1. \(81^{-4}\): This represents \(81\) raised to the power of \(-4\). It can be expressed without a negative exponent by using the property of negative exponents: \[ 81^{-4} = \frac{1}{81^4} \] If you want to compute it further, you'd calculate \(81^4\) (which gives a very large number), but since you requested not to include exponent expressions or decimals, we'll stop here.

2. \(-4^{81}\): This represents \(-4\) raised to the power of \(81\). It's important to note that if you meant \(-4^{81}\), that would mean the negative sign is only in front of \(4\), leading to: \[ -4^{81} = - (4^{81}) \] This is also a large number (negative), but again, we won't evaluate it fully since you requested to avoid exponent expressions.

Summary

• If you meant \(81^{-4}\), it equals \(\frac{1}{81^4}\).
• If you meant \(-4^{81}\), it is \(- (4^{81})\).

Let me know if you want to clarify further or if you need additional information about either expression!

Answer 10

what is this do you really htink anybodys gonna understand what *\(81^{-4}\)**, it equals \(\frac{1}{81^4}\) means where not robots

Answer 11

I apologize for not being clear in my explanations. Let's break it down in simpler terms without using technical notation.

1. For \(81^{-4}\): This is just a way of saying that you take the number 81 and raise it to the power of -4. When you have a negative exponent, it means you take the reciprocal (or "flip") of the number. So:

   • \(81^{-4}\) means 1 divided by 81 raised to the power of 4.
   • In simpler terms: It's a very small number because you're dividing 1 by a very large number (since \(81 \times 81 \times 81 \times 81\) is a big number).

2. For \(-4^{81}\): This means you take 4 and raise it to the power of 81, and the negative sign just means it's a negative number.

   • So, \(-4^{81}\) means a very large negative number because you're raising a base (4 in this case) to a high exponent (81).

To Summarize:

• \(81^{-4}\) = 1 / (81 multiplied by itself 4 times).
• \(-4^{81}\) = A negative number that is 4 multiplied by itself 81 times.

I hope this clears things up! If you have any more questions or need more simplifications, feel free to ask!