Question

question
fully simplify.
\\(x^{2}y^{3}(16x^{3}y^{4})\\)

Explanation:

Step1: Use the distributive property (multiply coefficients and like variables)

First, multiply the coefficient (which is 1 for \(x^2y^3\)) with 16, and then use the exponent rule \(a^m \cdot a^n = a^{m + n}\) for the \(x\) and \(y\) terms.
For the \(x\) terms: \(x^2 \cdot x^3 = x^{2 + 3}\)
For the \(y\) terms: \(y^3 \cdot y^4 = y^{3 + 4}\)
For the coefficients: \(1 \cdot 16 = 16\)

Step2: Simplify the exponents

Simplify the exponents for \(x\) and \(y\):
\(x^{2 + 3}=x^5\)
\(y^{3 + 4}=y^7\)

Step3: Combine all parts

Combine the coefficient and the simplified \(x\) and \(y\) terms:
\(16x^5y^7\)

Answer:

\(16x^5y^7\)