Question

simplify. express your answer using positive exponents. (7qr^4)(5q^5r)

Explanation:

Step1: Multiply the coefficients

Multiply the numerical coefficients 7 and 5.
$7\times5 = 35$

Step2: Multiply the q terms

Use the rule of exponents $a^m\times a^n=a^{m + n}$ for the variable $q$. Here, $q^1\times q^5=q^{1 + 5}=q^6$

Step3: Multiply the r terms

Use the rule of exponents $a^m\times a^n=a^{m + n}$ for the variable $r$. Here, $r^4\times r^1=r^{4+ 1}=r^5$

Step4: Combine the results

Multiply the results from Step 1, Step 2 and Step 3 together.
$35\times q^6\times r^5=35q^6r^5$

Answer:

$35q^6r^5$