Question

8.) $x^{15}y^{20} cdot x^{17}y^{18}$

Explanation:

Step1: Apply exponent rule for multiplication

When multiplying terms with the same base, we add the exponents. For the \( x \)-terms: \( x^{15} \cdot x^{17} = x^{15 + 17} \)
For the \( y \)-terms: \( y^{20} \cdot y^{18} = y^{20 + 18} \)

Step2: Calculate the exponents

Calculate \( 15 + 17 = 32 \) for the \( x \)-exponent and \( 20 + 18 = 38 \) for the \( y \)-exponent.

Step3: Combine the terms

Putting it together, we get \( x^{32}y^{38} \)

Answer:

\( x^{32}y^{38} \)