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simplify. y^4 y^5 y

Question

simplify.
y^4 y^5 y

Explanation:

Step1: Apply exponent - product rule

When multiplying powers with the same base \(a^m\times a^n=a^{m + n}\). Here the base \(a = y\), \(m = 4\), \(n = 5\), and we also have an additional \(y=y^1\). So \(y^4\times y^5\times y=y^{4 + 5+1}\).

Step2: Calculate the exponent sum

\(4 + 5+1=10\). So \(y^{4 + 5+1}=y^{10}\).

Answer:

\(y^{10}\)