Solve (2×4×5)/7 Raised to Power a: Complete the Expression

To solve this problem, we'll apply the exponent rule for fractions and products.

• The given expression is $\left(\frac{2 \times 4 \times 5}{7}\right)^a$. We need to simplify this using exponent rules.
• First, apply the exponent to both the numerator $2 \times 4 \times 5$ and the denominator $7$:
  $\left(\frac{2 \times 4 \times 5}{7}\right)^a = \frac{(2 \times 4 \times 5)^a}{7^a}$.
• Now, apply the rule $(ab)^n = a^n \times b^n$ to distribute the exponent on the numerator:
• $(2 \times 4 \times 5)^a = 2^a \times 4^a \times 5^a$.
• Therefore, the expression simplifies to:
  $\frac{2^a \times 4^a \times 5^a}{7^a}$.

Therefore, the expression simplifies to $\frac{2^a \times 4^a \times 5^a}{7^a}$.