Question

simplify.
y·y^5·y^5

Explanation:

Step1: Use exponent - product rule

When multiplying powers with the same base \(a^m\cdot a^n=a^{m + n}\). Here, the base \(a = y\), \(m = 1\) (since \(y=y^1\)), \(n_1=5\), \(n_2 = 5\). So \(y\cdot y^5\cdot y^5=y^{1 + 5+5}\).

Step2: Calculate the exponent sum

\(1+5 + 5=11\), so \(y^{1 + 5+5}=y^{11}\).

Answer:

\(y^{11}\)