Question

1. $(y^{6}z^{9})(6y^{4}z^{2})$ 6. $(14fa^{2}h^{2})(3f^{4}a^{2}h^{2})$

Explanation:

Step1: Multiply coefficients

$1 \times 6 = 6$

Step2: Combine $y$ terms (add exponents)

$y^{6} \times y^{4} = y^{6+4} = y^{10}$

Step3: Combine $z$ terms (add exponents)

$z^{9} \times z^{2} = z^{9+2} = z^{11}$

Step4: Multiply coefficients (for #6)

$14 \times 3 = 42$

Step5: Combine $f$ terms (add exponents)

$f^{1} \times f^{4} = f^{1+4} = f^{5}$

Step6: Combine $g$ terms (add exponents)

$g^{2} \times g^{2} = g^{2+2} = g^{4}$

Step7: Combine $h$ terms (add exponents)

$h^{2} \times h^{2} = h^{2+2} = h^{4}$

Answer:

For problem 4: $6y^{10}z^{11}$
For problem 6: $42f^{5}g^{4}h^{4}$