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

Question

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

Video Solution

Step-by-Step Solution

We use the formula:

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

Therefore, we obtain:

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

$a^530^5y^5$

Answer

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

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Question Types

Power of a Product: Variable in the base of the power Power of a Product: Applying the formula Applying Combined Exponents Rules: Two Variables Applying Combined Exponents Rules: Binomial Applying Combined Exponents Rules: Variable in the base of the power Applying Combined Exponents Rules: Applying the formula Applying Combined Exponents Rules: A power law