Question

find the product. simplify your answer.
$(q^{3})(5q^{4})$

Explanation:

Step1: Use commutative property

Rearrange the terms: \( (q^3)(5q^4)=5\times q^3\times q^4 \)

Step2: Apply exponent rule \( a^m\times a^n = a^{m + n} \)

For \( q^3\times q^4 \), we have \( q^{3+4}=q^7 \), so the expression becomes \( 5\times q^7 = 5q^7 \)

Answer:

\( 5q^7 \)