Write the product in its simplest form: 7x^6cdot 7x^9 Enter the correct answer.

To simplify the product \( 7x^6 \cdot 7x^9 \), follow these steps:<br /><br />### Step 1: Multiply the coefficients<br />The coefficients are both \( 7 \). Multiply them:<br />\[<br />7 \cdot 7 = 49<br />\]<br /><br />### Step 2: Apply the laws of exponents<br />When multiplying terms with the same base (\( x \)), add their exponents:<br />\[<br />x^6 \cdot x^9 = x^{6+9} = x^{15}<br />\]<br /><br />### Step 3: Combine the results<br />Combine the coefficient and the simplified exponent:<br />\[<br />49x^{15}<br />\]<br /><br />### Final Answer:<br />\[<br />\boxed{49x^{15}}<br />\]