Question

Solve for x:



`\left(15^{\frac{1}{3}}\right)^{3}`

Answer 1

To solve for \( x \) in the expression \( \left(15^{\frac{1}{3}}\right)^{3} \), we can use the properties of exponents.

The property states that \( (a^m)^n = a^{mn} \). Applying this property here, we have:

\[
\left(15^{\frac{1}{3}}\right)^{3} = 15^{\frac{1}{3} \cdot 3}
\]

Now we simplify the exponent:

\[
\frac{1}{3} \cdot 3 = 1
\]

Thus, we get:

\[
15^{\frac{1}{3} \cdot 3} = 15^1
\]

This simplifies to:

\[
15
\]

Therefore, the solution is:

\[
x = 15
\]