Question
which expression is not equal of the expression show? 3^ divided by 3 ^ -4
Answers
GPT-4o mini
To simplify the expression \(\frac{3^1}{3^{-4}}\), you can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).
Applying this property:
\[
\frac{3^1}{3^{-4}} = 3^{1 - (-4)} = 3^{1 + 4} = 3^5
\]
So, \(\frac{3^1}{3^{-4}} = 3^5\).
Now, if you are looking for an expression that is **not equal** to \(3^5\), it could be any other base of 3 raised to a different power (such as \(3^4\), \(3^3\), etc.) or a completely different number or expression.
An example of an expression that is **not equal** to \(3^5\) would be:
- \(3^4\)
- \(3^6\)
- \(10\)
- \(27\)
- \(\frac{1}{3^5}\)
These all would not equal \(3^5\). If you have specific expressions you want to compare against, feel free to share those!
Applying this property:
\[
\frac{3^1}{3^{-4}} = 3^{1 - (-4)} = 3^{1 + 4} = 3^5
\]
So, \(\frac{3^1}{3^{-4}} = 3^5\).
Now, if you are looking for an expression that is **not equal** to \(3^5\), it could be any other base of 3 raised to a different power (such as \(3^4\), \(3^3\), etc.) or a completely different number or expression.
An example of an expression that is **not equal** to \(3^5\) would be:
- \(3^4\)
- \(3^6\)
- \(10\)
- \(27\)
- \(\frac{1}{3^5}\)
These all would not equal \(3^5\). If you have specific expressions you want to compare against, feel free to share those!