Simplify. Express your answer using positive exponents.
10st^8u
5stu^8
Simplify. Express your answer using positive exponents. 10st^8u 5stu^8
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Simplify. Express your answer using positive exponents.
10st^8u
5stu^8
To simplify the expression (frac{10s t^8 u}{5 s t u^8}), we can follow these steps:
1. Divide the coefficients:
(frac{10}{5} = 2)
2. Divide the like terms with the same base (applying the laws of exponents):
– For (s):
(frac{s}{s} = 1) (which we can omit)
– For (t):
(frac{t^8}{t} = t^{8-1} = t^7)
– For (u):
(frac{u}{u^8} = u^{1-8} = u^{-7})
3. Combine the results:
The simplified expression is (2t^7 u^{-7}).
4. Express using positive exponents:
We can rewrite (u^{-7}) as (frac{1}{u^7}).
Thus, the final answer is:
[
frac{2t^7}{u^7}
]
This means we multiplied the coefficients, simplified each variable by the rules of exponents, and expressed the final answer with positive exponents. If you need further assistance, feel free to check the extended services page!