Complete the Expression: Finding (5×b×a)⁴

Insert the corresponding expression:

$\left(5\times b\times a\right)^4=$

To solve the expression $\left(5 \times b \times a\right)^4$, we'll apply the Power of a Product Rule, which states that when a product is raised to an exponent, each factor in the product is raised to that exponent individually.

• First, identify each factor in the product: $5$, $b$, and $a$.

• Next, apply the exponent to each factor:

  • The number $5$ becomes $5^4$.

  • The variable $b$ becomes $b^4$.

  • The variable $a$ becomes $a^4$.

• Finally, multiply these results together to obtain the simplified expression.

Therefore, the expression $\left(5 \times b \times a\right)^4$ simplifies to $5^4 \times b^4 \times a^4$, which corresponds to Choice 3.