Complete the Expression: Finding (y×a) Raised to the Power of 5

Question

Insert the corresponding expression:

(y×a)5= \left(y\times a\right)^5=

Video Solution

Solution Steps

00:00 Simplify the following problem
00:03 In order to open parentheses with a multiplication operation and an outside exponent
00:07 We raise each factor to the power
00:13 We will apply this formula to our exercise
00:20 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: The problem provides the expression (y×a)5 \left(y \times a\right)^5 and asks us to write the corresponding expanded expression.
Step 2: We'll use the exponent rule for the power of a product, which states that (xy)n=xn×yn (xy)^n = x^n \times y^n .
Step 3: Applying this rule, we raise each factor inside the parentheses to the fifth power: y5×a5 y^5 \times a^5 .

Therefore, the solution to the problem is y5×a5 y^5 \times a^5 .

Among the given choices, Choice 1: y5×a5 y^5 \times a^5 is the correct expression.

Answer

y5×a5 y^5\times a^5