Question

x⁶y⁶·x¹¹y¹⁰

Explanation:

Step1: Apply exponent rule for multiplication ($a^m \cdot a^n = a^{m + n}$) to x terms.

For $x^6 \cdot x^{11}$, we add the exponents: $x^{6 + 11}$

Step2: Apply exponent rule for multiplication to y terms.

For $y^6 \cdot y^{10}$, we add the exponents: $y^{6 + 10}$

Step3: Calculate the sums of exponents.

$x^{6 + 11}=x^{17}$ and $y^{6 + 10}=y^{16}$

Step4: Combine the results.

The product is $x^{17}y^{16}$

Answer:

$x^{17}y^{16}$