To simplify the expression [tex]\(\left(\frac{b^6}{a^3}\right)\)[/tex], we can follow these steps:
1. Understand the Expression: Observe that the expression is a fraction with [tex]\(b^6\)[/tex] in the numerator and [tex]\(a^3\)[/tex] in the denominator: [tex]\(\frac{b^6}{a^3}\)[/tex].
2. Identify the Variables and Exponents: Here, [tex]\(b\)[/tex] is raised to the power of 6 in the numerator and [tex]\(a\)[/tex] is raised to the power of 3 in the denominator.
3. Simplification: Notice that there are no common factors between the numerator and the denominator that can be canceled out. Therefore, the expression is already in its simplest form.
Combining these observations, the simplified form of the expression [tex]\(\left(\frac{b^6}{a^3}\right)\)[/tex] is:
[tex]\[
\frac{b^6}{a^3}
\][/tex]
This indicates that the given expression is already in its simplest form.
