Question

simplify. express your answer as a single term, without a denominator. $r^{-1}g^{0}h^{8}\cdot r^{4}g^{8}h^{3}$

Explanation:

Step1: Group like variables

$(r^{-1} \cdot r^{4})(g^{0} \cdot g^{8})(h^{8} \cdot h^{3})$

Step2: Apply exponent product rule

$r^{-1+4}g^{0+8}h^{8+3}$

Step3: Simplify exponents

$r^{3}g^{8}h^{11}$

Answer:

$r^{3}g^{8}h^{11}$