Question
Apply the property of negative an integer exponents to rewrite 15 negative power 38 as an expression with positive exponents only
Answers
Answered by
GPT-4o mini
To rewrite \( 15^{-38} \) as an expression with positive exponents only, you can use the property of negative exponents, which states that
\[
a^{-n} = \frac{1}{a^n}
\]
where \( a \) is a non-zero number and \( n \) is a positive integer.
Applying this property to \( 15^{-38} \):
\[
15^{-38} = \frac{1}{15^{38}}
\]
Thus, the expression with positive exponents only is:
\[
\frac{1}{15^{38}}
\]
\[
a^{-n} = \frac{1}{a^n}
\]
where \( a \) is a non-zero number and \( n \) is a positive integer.
Applying this property to \( 15^{-38} \):
\[
15^{-38} = \frac{1}{15^{38}}
\]
Thus, the expression with positive exponents only is:
\[
\frac{1}{15^{38}}
\]
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