Question

Simply 13^12 divided by 13^-10

Answer 1

To simplify \( \frac{13^{12}}{13^{-10}} \), we can use the property of exponents which states that \( \frac{a^m}{a^n} = a^{m-n} \).

Applying this property, we get:

\[
\frac{13^{12}}{13^{-10}} = 13^{12 - (-10)} = 13^{12 + 10} = 13^{22}
\]

So, the simplified result is:

\[
13^{22}
\]

Answer 2

Simplify 4^13 divided by 3^-5

Answer 3

To simplify \( \frac{4^{13}}{3^{-5}} \), we can rewrite it using the property of exponents that states \( \frac{a^m}{b^n} = a^m \cdot b^{-n} \).

Thus, we can rewrite the expression as:

\[
\frac{4^{13}}{3^{-5}} = 4^{13} \cdot 3^{5}
\]

Now, we can express the final result as:

\[
4^{13} \cdot 3^{5}
\]

This is the simplified result, which can be left in this form unless you want to compute the specific values of \( 4^{13} \) and \( 3^{5} \).

Answer 4

What

Answer 5

I apologize if my previous response was unclear. Let's clarify the simplification step-by-step.

To simplify the expression \( \frac{4^{13}}{3^{-5}} \):

1. Recall that dividing by a negative exponent is equivalent to multiplying by the positive exponent:
\[
\frac{a}{b^{-n}} = a \cdot b^{n}
\]
So, we rewrite \( \frac{4^{13}}{3^{-5}} \) as:
\[
4^{13} \cdot 3^{5}
\]

2. The simplified result of the expression \( \frac{4^{13}}{3^{-5}} \) is:
\[
4^{13} \cdot 3^{5}
\]

If you want numerical values for \( 4^{13} \) or \( 3^5 \) or if there's anything more specific you would like to know, please let me know!