Question
13^5 times what equals 13^12
Answers
GPT-4o mini
To find the value of \( x \) in the equation
\[
13^5 \times x = 13^{12},
\]
we can isolate \( x \) by dividing both sides by \( 13^5 \):
\[
x = \frac{13^{12}}{13^5}.
\]
Using the properties of exponents, specifically \( \frac{a^m}{a^n} = a^{m-n} \), we can simplify the right side:
\[
x = 13^{12 - 5} = 13^7.
\]
Thus, the value of \( x \) that satisfies the equation is
\[
\boxed{13^7}.
\]
\[
13^5 \times x = 13^{12},
\]
we can isolate \( x \) by dividing both sides by \( 13^5 \):
\[
x = \frac{13^{12}}{13^5}.
\]
Using the properties of exponents, specifically \( \frac{a^m}{a^n} = a^{m-n} \), we can simplify the right side:
\[
x = 13^{12 - 5} = 13^7.
\]
Thus, the value of \( x \) that satisfies the equation is
\[
\boxed{13^7}.
\]