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

Question

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

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

We use the formula:

$(a\times b)^x=a^xb^x$

Therefore, we obtain:

$(a\times5\times6\times y)^5=(a\times30\times y)^5$

$a^530^5y^5$

$a^5\cdot30^5\cdot y^5$