Evaluate the Expression: Simplifying (b×9×a)⁶

Insert the corresponding expression:

(b×9×a)6= \left(b\times9\times a\right)^6=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplify the following problem
00:04 In order to open parentheses with a multiplication operation and an outside exponent
00:09 Raise each factor to the power
00:14 We will apply this formula to our exercise
00:23 This is the solution

Step-by-step written solution

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1

Understand the problem

Insert the corresponding expression:

(b×9×a)6= \left(b\times9\times a\right)^6=

2

Step-by-step solution

To expand the expression (b×9×a)6 \left(b \times 9 \times a\right)^6 , we'll apply the power of a product rule for exponents, which states that (xyz)n=xn×yn×zn (xyz)^n = x^n \times y^n \times z^n .

  • Step 1: Identify each factor within the base: b b , 9 9 , and a a .
  • Step 2: Apply the exponent to each factor individually:
    • b6 b^6
    • 96 9^6
    • a6 a^6

By multiplying these results together, the expanded form is b6×96×a6 b^6 \times 9^6 \times a^6 .

Therefore, the correct expression is b6×96×a6 b^6 \times 9^6 \times a^6 .

3

Final Answer

b6×96×a6 b^6\times9^6\times a^6

Practice Quiz

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\( (4^3)^2= \)

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