Question

question
fully simplify.
$7x^5y^3(x^5y^5)$

Explanation:

Step1: Use the distributive property (multiply coefficients and add exponents for like bases)

For the coefficient: \(7\times1 = 7\)
For the \(x\) terms: \(x^{5}\times x^{5}=x^{5 + 5}=x^{10}\) (using the rule \(a^{m}\times a^{n}=a^{m + n}\))
For the \(y\) terms: \(y^{3}\times y^{5}=y^{3+5}=y^{8}\) (using the same exponent rule)

Step2: Combine the results

Multiply the coefficient with the \(x\) and \(y\) terms together.
So we get \(7\times x^{10}\times y^{8}=7x^{10}y^{8}\)

Answer:

\(7x^{10}y^{8}\)