Question

multiply.
$(-7x^{9})(7x^{3})$
$(-7x^{9})(7x^{3})=\square$ (simplify your answer.)

Explanation:

Step1: Multiply the coefficients

Multiply -7 and 7. So, \(-7\times7 = -49\).

Step2: Multiply the variables using exponent rule

For the variables \(x^9\) and \(x^3\), use the rule \(a^m\times a^n=a^{m + n}\). So, \(x^9\times x^3=x^{9 + 3}=x^{12}\).

Step3: Combine the results

Multiply the results from Step1 and Step2. So, \(-49\times x^{12}=-49x^{12}\).

Answer:

\(-49x^{12}\)