Question

simplify 4^13 divided by 3^-5 Correct answer please!

Answers

Answered by GPT-4o mini
To simplify \( \frac{4^{13}}{3^{-5}} \), we can rewrite the expression using the properties of exponents.

First, recall that dividing by a negative exponent is equivalent to multiplying by the positive exponent:
\[
\frac{4^{13}}{3^{-5}} = 4^{13} \cdot 3^{5}
\]

Now, the expression \( 4^{13} \) can be simplified if desired, but for now, we can leave it as is:
\[
4^{13} \cdot 3^{5}
\]

This is the simplified form of the expression. If you need the numbers evaluated:
\[
4^{13} = 67108864 \quad \text{(which is } 4 \text{ raised to the power of } 13\text{)}
\]
\[
3^{5} = 243 \quad \text{(which is } 3 \text{ raised to the power of } 5\text{)}
\]

Thus, the multiplication would give:
\[
67108864 \cdot 243 = 1628418681
\]

Therefore, the simplified expression is:
\[
4^{13} \cdot 3^{5} \quad \text{or numerically } 1628418681.
\]
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