Question

question 1.1
selected response: 1 point for correct answer only
simplify: $(3x^2y^3)(7x^3y^2)(4x)^0$

• $16x^5y^5$
• $84x^5y^5$
• $44x^5y^5$

Explanation:

Step1: Multiply coefficients

Multiply 3, 7, and 4: \(3\times7\times4 = 84\)

Step2: Multiply \(x\)-terms

For \(x\)-exponents: \(1 + 2+1=4\) (using \(x^a\times x^b = x^{a + b}\)), so \(x^1\times x^2\times x^1=x^4\)

Step3: Multiply \(y\)-terms

For \(y\)-exponents: \(2+3 + 0 = 5\) (since \(4x = 4x^1y^0\)), so \(y^2\times y^3\times y^0=y^5\)

Step4: Combine results

Combine coefficient, \(x\)-term, and \(y\)-term: \(84x^4y^5\)

Answer:

\(84x^4y^5\) (assuming the original expression is \((3xy^{2})(7x^{2}y^{3})(4x)\))