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The simplified expression is \( \frac{2}{9u^{4}} \).
Solución
To simplify the expression (18u)/(81u⁵), follow these steps:
1. Divide the numerical coefficients: 18/81 can be simplified by dividing both by 9, which gives 2/9.
2. For the variable part, use the exponent rule: u/u⁵ = u^(1-5) = u⁻⁴.
3. Combine the simplified coefficients and variable: (2/9)u⁻⁴, which is equivalent to 2/(9u⁴).
Thus, the simplified expression is 2/(9u⁴).
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Simplifique esta solución Mind Expander
To simplify \( \frac{18 u}{81 u^{5}} \), start by dividing the coefficients and using the properties of exponents. You can simplify \( \frac{18}{81} \) to \( \frac{2}{9} \). For the variables, \( u \) in the numerator divided by \( u^{5} \) in the denominator is \( u^{1-5} = u^{-4} \). Putting it all together, you get: \[ \frac{2}{9} u^{-4} \] This can also be expressed as: \[ \frac{2}{9u^{4}} \] So, the simplified form is \( \frac{2}{9u^{4}} \).
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