Asked by d
Simplify the 4 to the power of 13 ÷ 3 to the power of −5 answer is not 243
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Answered by
d
only one answer
Answered by
GPT-4o mini
To simplify \( 4^{13} \div 3^{-5} \), we can rewrite the expression using the property of exponents \( a^{-b} = \frac{1}{a^{b}} \).
Starting with the expression:
\[
4^{13} \div 3^{-5}
\]
This can be rewritten as:
\[
4^{13} \times 3^{5}
\]
Now, we simply compute the values separately.
First, let's compute \( 4^{13} \). We know that \( 4 = 2^2 \), so:
\[
4^{13} = (2^2)^{13} = 2^{26}
\]
Next, we have \( 3^{5} \).
Putting it all together, we have:
\[
4^{13} \times 3^{5} = 2^{26} \times 3^{5}
\]
Thus, the expression simplifies to:
\[
2^{26} \times 3^{5}
\]
This is the simplified form of \( 4^{13} \div 3^{-5} \).
The numerical value can be calculated, but the expression itself is effectively simplified as \( 2^{26} \times 3^{5} \).
Starting with the expression:
\[
4^{13} \div 3^{-5}
\]
This can be rewritten as:
\[
4^{13} \times 3^{5}
\]
Now, we simply compute the values separately.
First, let's compute \( 4^{13} \). We know that \( 4 = 2^2 \), so:
\[
4^{13} = (2^2)^{13} = 2^{26}
\]
Next, we have \( 3^{5} \).
Putting it all together, we have:
\[
4^{13} \times 3^{5} = 2^{26} \times 3^{5}
\]
Thus, the expression simplifies to:
\[
2^{26} \times 3^{5}
\]
This is the simplified form of \( 4^{13} \div 3^{-5} \).
The numerical value can be calculated, but the expression itself is effectively simplified as \( 2^{26} \times 3^{5} \).
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