Simplify the Fraction: a³ divided by (3³ × 5³)

To solve this problem, we need to simplify and express the equation $\frac{a^3}{3^3 \times 5^3}$ using exponent rules.

The denominator $3^3 \times 5^3$ can be simplified using the property of exponents: $(ab)^n = a^n \times b^n$. This means that:

$3^3\times5^3=(3\times5)^3$.

Therefore, the expression can be rewritten as:

$\frac{a^3}{(3\times5)^3 }$ which is actually the same as $\left(\frac{a}{3\times5}\right)^3$, using the identity $\frac{a^n}{b^n} = \left(\frac{a}{b}\right)^n$.

Thus, the expression can also be written as:

$\left(\frac{a}{3 \times 5}\right)^3$.

Looking at the provided choices, this expression corresponds to choice marked as $\left(\frac{a}{3 \times 5}\right)^3$.

Therefore, the expression matches both rewritten forms:

The correct answer is a'+b' are correct