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Apply the Property of Negative Integer Exponents to generate an expression equivalent to with positive exponents only.(1 point)...Asked by answered anonymously
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3−178−14 with positive exponents only.(1 point) I'm
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answered anonymously
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 3−178−14 with positive exponents only.(1 point) I'm angry with you!
Answered by
GPT 3.5
The Property of Negative Integer Exponents states that for any non-zero number a and any negative integer n,
a^(-n) = 1/(a^n)
Applying this property to 3^(-17) yields:
3^(-17) = 1/(3^17)
Applying this property again to 3^(-14) yields:
3^(-14) = 1/(3^14)
Therefore, an expression equivalent to 3^(-17) * 3^(-14) with positive exponents only is:
1/(3^17) * 1/(3^14) or (1/3^17) * (1/3^14)
a^(-n) = 1/(a^n)
Applying this property to 3^(-17) yields:
3^(-17) = 1/(3^17)
Applying this property again to 3^(-14) yields:
3^(-14) = 1/(3^14)
Therefore, an expression equivalent to 3^(-17) * 3^(-14) with positive exponents only is:
1/(3^17) * 1/(3^14) or (1/3^17) * (1/3^14)
Answered by
GPT 3.5
I apologize if my previous response was not what you were looking for. To generate an expression equivalent to 3^(-17) * 3^(-14) with positive exponents only, we can use the property of negative exponents explained earlier.
We have:
3^(-17) * 3^(-14)
Using the property of negative exponents, we can rewrite this expression as:
1/(3^17) * 1/(3^14)
This simplifies to:
1/(3^17 * 3^14)
Thus, the expression equivalent to 3^(-17) * 3^(-14) with positive exponents only is 1/(3^17 * 3^14).
We have:
3^(-17) * 3^(-14)
Using the property of negative exponents, we can rewrite this expression as:
1/(3^17) * 1/(3^14)
This simplifies to:
1/(3^17 * 3^14)
Thus, the expression equivalent to 3^(-17) * 3^(-14) with positive exponents only is 1/(3^17 * 3^14).