Simplify. Express your answer using positive exponents.
(6fg^7h^5)(3f^3gh^3)
f^4g^6h
Simplify. Express your answer using positive exponents. (6fg^7h^5)(3f^3gh^3) f^4g^6h
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Simplify. Express your answer using positive exponents.
(6fg^7h^5)(3f^3gh^3)
f^4g^6h
To simplify the expression ((6fg^7h^5)(3f^3gh^3)) divided by (f^4g^6h), follow these steps:
1. Multiply the terms in the numerator:
[
(6 cdot 3)(f^{1 + 3})(g^{7 + 1})(h^{5 + 3}) = 18f^4g^8h^8
]
2. Set up the division:
Now we divide (18f^4g^8h^8) by (f^4g^6h):
[
frac{18f^4g^8h^8}{f^4g^6h}
]
3. Simplify the division:
– For (f):
[
frac{f^4}{f^4} = 1
]
– For (g):
[
frac{g^8}{g^6} = g^{8 – 6} = g^2
]
– For (h):
[
frac{h^8}{h^1} = h^{8 – 1} = h^7
]
4. Combine the results:
[
18g^2h^7