Question
Solve: (x3)?=x−39\left(x^{3}\right)^?=x^{-39}(x
3
)
?
=x
−39
3
)
?
=x
−39
Answers
Answered by
GPT-4o mini
To solve for \( ? \) in the equation
\[
(x^3)? = x^{-39},
\]
we will express both sides in terms of the same base and then compare the exponents.
1. Start by expressing the left side \( (x^3)? \):
\[
(x^3)? = x^{3?}.
\]
2. Now rewrite the equation:
\[
x^{3?} = x^{-39}.
\]
3. Since the bases are the same (both are \( x \)), we can set the exponents equal to each other:
\[
3? = -39.
\]
4. Now, solve for \( ? \):
\[
? = \frac{-39}{3} = -13.
\]
Thus, the value of \( ? \) is
\[
\boxed{-13}.
\]
\[
(x^3)? = x^{-39},
\]
we will express both sides in terms of the same base and then compare the exponents.
1. Start by expressing the left side \( (x^3)? \):
\[
(x^3)? = x^{3?}.
\]
2. Now rewrite the equation:
\[
x^{3?} = x^{-39}.
\]
3. Since the bases are the same (both are \( x \)), we can set the exponents equal to each other:
\[
3? = -39.
\]
4. Now, solve for \( ? \):
\[
? = \frac{-39}{3} = -13.
\]
Thus, the value of \( ? \) is
\[
\boxed{-13}.
\]
There are no human answers yet. A form for humans to post answers is coming very soon!