Questions: Simplify: c^5 cdot c^6 cdot c^3 cdot c^2 (Give answer in exponential form.)

Solution Steps

To simplify the expression \(c^{5} \cdot c^{6} \cdot c^{3} \cdot c^{2}\), we can use the property of exponents that states when multiplying like bases, we add the exponents. Therefore, we add the exponents of \(c\) together.

The given expression is \(c^{5} \cdot c^{6} \cdot c^{3} \cdot c^{2}\).

When multiplying terms with the same base, we add their exponents. Therefore, we calculate the sum of the exponents: \[ 5 + 6 + 3 + 2 = 16 \]

The expression simplifies to: \[ c^{16} \]

Final Answer