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

Question

(a56y)5= (a\cdot5\cdot6\cdot y)^5=

Video Solution

Solution Steps

00:00 Simplify the expression
00:02 When there is a power over a product of terms, all terms are raised to that power
00:05 And this is the solution to the question

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

Answer

a5305y5 a^5\cdot30^5\cdot y^5