Evaluate (a·5·6·y)^5: Simplifying a Fifth Power Expression

(a⋅5⋅6⋅y)5= (a\cdot5\cdot6\cdot y)^5=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplify
00:02 Let's calculate the possible multiplication
00:05 We'll use the power formula for multiplication
00:08 Every multiplication to the power of the exponent (N)
00:11 Equals each factor separately to the power of the same exponent (N)
00:14 We'll use this formula in our exercise
00:18 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

(a⋅5⋅6⋅y)5= (a\cdot5\cdot6\cdot y)^5=

2

Step-by-step solution

We use the formula:

(a×b)x=axbx (a\times b)^x=a^xb^x

Therefore, we obtain:

(a×5×6×y)5=(a×30×y)5 (a\times5\times6\times y)^5=(a\times30\times y)^5

a5305y5 a^530^5y^5

3

Final Answer

a5⋅305⋅y5 a^5\cdot30^5\cdot y^5

Practice Quiz

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\( 112^0=\text{?} \)

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