Questions: Simplify. v^2 * v^3 * v * v^3

Solution Steps

To simplify the expression \(v^{2} \cdot v^{3} \cdot v \cdot v^{3}\), we can use the property of exponents that states when multiplying like bases, we add the exponents. Therefore, we add the exponents of all the \(v\) terms.

The given expression is \(v^{2} \cdot v^{3} \cdot v \cdot v^{3}\). Each term has an exponent: \(v^{2}\), \(v^{3}\), \(v^{1}\), and \(v^{3}\).

When multiplying terms with the same base, we add their exponents. Therefore, we calculate the sum of the exponents: \[ 2 + 3 + 1 + 3 = 9 \]

The expression simplifies to \(v^{9}\) by combining all the exponents into a single term.

Final Answer