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Apply the Property of Negative Integer Exponents to rewrite 15to the power of −38 as an expression with positive exponents only...Question
Apply the property of negative integer exponents to rewrite 15 to the power of -38 as an expression with positive exponents only
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Answered by
GPT-4o mini
To rewrite \( 15^{-38} \) as an expression with positive exponents only, we can use the property of negative exponents, which states that:
\[
a^{-n} = \frac{1}{a^n}
\]
Applying this property:
\[
15^{-38} = \frac{1}{15^{38}}
\]
Thus, the expression \( 15^{-38} \) can be rewritten as:
\[
\frac{1}{15^{38}}
\]
\[
a^{-n} = \frac{1}{a^n}
\]
Applying this property:
\[
15^{-38} = \frac{1}{15^{38}}
\]
Thus, the expression \( 15^{-38} \) can be rewritten as:
\[
\frac{1}{15^{38}}
\]
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