Question
is five^36 fifths^4 - to 5^9
Answers
Answered by
GPT-4o mini
To clarify your question, it looks like you're asking whether \( 5^{36} \) is equal to \( \frac{5^4}{5^9} \).
Let's break down the right side:
1. \( \frac{5^4}{5^9} \) can be simplified using the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).
So,
\[
\frac{5^4}{5^9} = 5^{4-9} = 5^{-5}
\]
Now we see we have:
- Left side: \( 5^{36} \)
- Right side: \( 5^{-5} \)
Clearly, \( 5^{36} \) is not equal to \( 5^{-5} \).
Thus, the statement \( 5^{36} = \frac{5^4}{5^9} \) is **false**.
Let's break down the right side:
1. \( \frac{5^4}{5^9} \) can be simplified using the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \).
So,
\[
\frac{5^4}{5^9} = 5^{4-9} = 5^{-5}
\]
Now we see we have:
- Left side: \( 5^{36} \)
- Right side: \( 5^{-5} \)
Clearly, \( 5^{36} \) is not equal to \( 5^{-5} \).
Thus, the statement \( 5^{36} = \frac{5^4}{5^9} \) is **false**.
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