simplify. express your answer using positive exponents. (8fgh^{17})(6f^{70}gh^{67})

Explanation:

Step1: Multiply the coefficients

$8\times6 = 48$

Step2: Multiply variables with the same base

For $f$: $f\times f^{70}=f^{1 + 70}=f^{71}$ (using the rule $a^m\times a^n=a^{m + n}$) For $g$: $g\times g = g^{1+1}=g^{2}$ For $h$: $h^{17}\times h^{67}=h^{17 + 67}=h^{84}$

Step3: Combine the results

$48f^{71}g^{2}h^{84}$

Answer:

$48f^{71}g^{2}h^{84}$