simplify. express your answer using positive exponents.\n$(5gh^{81})(5g^{22}h^{9})$

Explanation:

Step1: Multiply the coefficients

$5\times5 = 25$

Step2: Use the product - rule for exponents on $g$ terms

$g^1\times g^{22}=g^{1 + 22}=g^{23}$ (since $a^m\times a^n=a^{m + n}$)

Step3: Use the product - rule for exponents on $h$ terms

$h^{81}\times h^{9}=h^{81+9}=h^{90}$ (since $a^m\times a^n=a^{m + n}$)

Step4: Combine the results

$25g^{23}h^{90}$

Answer:

$25g^{23}h^{90}$