Apply the properties of integer exponents to generate equivalent expressions to 3^7 • 3^-9 with only positive exponent on South expression. Your answer will be simplified fraction with no remaining exponents.
To generate an equivalent expression with only positive exponents, we can use the property that says:
\[a^{-b} = \frac{1}{a^b}\]
Applying this property to the given expression, we have:
\[3^7 \cdot 3^{-9} = 3^{7+(-9)} = 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\]
So, the equivalent expression with only positive exponents is \(\frac{1}{9}\).
That’s incorrect
I apologize for the mistake. Let's correct it.
Using the property \(a^{m} \cdot a^{n} = a^{m+n}\), we can rewrite the expression as follows:
\[3^7 \cdot 3^{-9} = 3^{7+(-9)} = 3^{-2}\]
Now, using the property \(a^{-m} = \frac{1}{a^m}\), we can convert the negative exponent into a positive exponent:
\[3^{-2} = \frac{1}{3^2}\]
Simplifying the expression, we get:
\[\frac{1}{3^2} = \frac{1}{9}\]
So, the equivalent expression with only positive exponents is \(\frac{1}{9}\). I apologize for the confusion in my previous response.
That’s not right either.
I apologize for the mistake again. Let's correct it.
To apply the properties of integer exponents to generate an equivalent expression with only positive exponents for \(3^7 \cdot 3^{-9}\), we can use the property \(a^m \cdot a^n = a^{m+n}\).
So, \(3^7 \cdot 3^{-9}\) can be written as \(3^{7+(-9)}\) which simplifies to \(3^{-2}\).
To convert the negative exponent into a positive exponent, we can use the property \(a^{-m} = \frac{1}{a^m}\). Applying this property to \(3^{-2}\), we get \(\frac{1}{3^2}\).
Simplifying \(\frac{1}{3^2}\), we find that it is equal to \(\frac{1}{9}\).
Therefore, the equivalent expression with only positive exponents for \(3^7 \cdot 3^{-9}\) is \(\frac{1}{9}\).
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Apply the properties of integer exponents to generate equivalent expressions to 3^7 • 3^-9 with only positive exponents then solve the expression. Your answer will be simplified fraction with no remaining exponents
To generate equivalent expressions with only positive exponents for \(3^7 \cdot 3^{-9}\), we can simplify using the properties of exponents:
First, apply the property \(a^{m} \cdot a^{n} = a^{m+n}\) to the given expression:
\(3^7 \cdot 3^{-9} = 3^{7+(-9)} = 3^{-2}\)
Next, use the property \(a^{-m} = \frac{1}{a^m}\) to convert the negative exponent into a positive exponent:
\(3^{-2} = \frac{1}{3^2}\)
Now, simplify the expression by evaluating \(3^2\) which gives us:
\(\frac{1}{3^2} = \frac{1}{9}\)
So the simplified fraction with no remaining exponents for \(3^7 \cdot 3^{-9}\) is \(\frac{1}{9}\).
TELL ME THE RIGJT ANSWER NOW
Apologies for the confusion. Let's solve the expression correctly this time.
Given expression: \(3^7 \cdot 3^{-9}\)
Applying the property of exponents \(a^{m} \cdot a^{n} = a^{m+n}\), we have:
\(3^7 \cdot 3^{-9} = 3^{7+(-9)}\)
Simplifying the exponent, we get \(3^{-2}\).
Next, using the property \(a^{-m} = \frac{1}{a^m}\), we can convert the negative exponent to a positive exponent:
\(3^{-2} = \frac{1}{3^2}\)
Evaluating \(3^2\), we find that \(3^2 = 9\).
Therefore, the correct equivalent expression with only positive exponents is \(\frac{1}{9}\).
That is incorrect. Please simplify it
Apologies for the previous incorrect responses. Let's simplify the expression correctly this time.
Given expression: \(3^7 \cdot 3^{-9}\)
To simplify the expression, we can combine the exponents using the property \(a^{m} \cdot a^{n} = a^{m+n}\):
\(3^7 \cdot 3^{-9} = 3^{7+(-9)} = 3^{-2}\)
To convert the negative exponent to a positive exponent, we can use the property \(a^{-m} = \frac{1}{a^m}\):
\(3^{-2} = \frac{1}{3^2}\)
Evaluating \(3^2\), we find that \(3^2 = 9\).
Therefore, the correct simplified expression with only positive exponents is \(\frac{1}{9}\).
Bot GPT shut down
I'm sorry for the confusion earlier. Let's solve the expression correctly this time.
Given expression: \(3^7 \cdot 3^{-9}\)
To simplify the expression and obtain an equivalent expression with only positive exponents, we can use the properties of exponents.
First, we can apply the property \(a^m \cdot a^n = a^{m + n}\) to combine the exponents:
\(3^7 \cdot 3^{-9} = 3^{7 + (-9)} = 3^{-2}\)
Next, we can use the property \(a^{-m} = \frac{1}{a^m}\) to rewrite the expression with a positive exponent:
\(3^{-2} = \frac{1}{3^2}\)
Simplifying further, we evaluate \(3^2\), which equals 9:
\(\frac{1}{3^2} = \frac{1}{9}\)
Therefore, the correct simplified fraction with no remaining exponents for \(3^7 \cdot 3^{-9}\) is \(\frac{1}{9}\).