To simplify the expression \( y^2 \times y^5 \times y \times y^6 \):

When multiplying expressions with the same base, you add the exponents. The base here is \( y \).

\[
y^2 \times y^5 \times y^1 \times y^6 = y^{2+5+1+6} = y^{14}
\]

So, the simplified expression is \( y^{14} \).

Would you like any further details or have any questions?

Here are 5 related questions you might find interesting:

1. How would you simplify \( x^3 \times x^4 \times x^2 \)?
2. What is the simplified form of \( z \times z^3 \times z^5 \)?
3. How do you simplify \( a^2 \times a^4 \times a^6 \times a^8 \)?
4. What happens if you multiply different variables, like \( x^2 \times y^3 \times z^4 \)?
5. How would you simplify \( (y^2 \times y^3)^2 \)?

**Tip:** When multiplying powers with the same base, always remember to add the exponents to simplify the expression.

This page provides a step-by-step solution to simplify the algebraic expression y^2 × y^5 × y × y^6. Learn how to apply the product of powers rule to combine exponents. Suitable for students in Grades 6-8.

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