Question

simplify. express your answer using positive exponents.\\(9f^{9}gh^{5} \cdot 8fgh\\)

Explanation:

Step1: Multiply the coefficients

$9 \times 8 = 72$

Step2: Combine $f$ terms (add exponents)

$f^9 \times f = f^{9+1} = f^{10}$

Step3: Combine $g$ terms (add exponents)

$g \times g = g^{1+1} = g^2$

Step4: Combine $h$ terms (add exponents)

$h^5 \times h = h^{5+1} = h^6$

Step5: Combine all simplified terms

$72 \times f^{10} \times g^2 \times h^6$

Answer:

$72f^{10}g^2h^6$