Question
26. \( 5 x\left(\frac{3 a b^{6}}{2 a^{3} b^{5}}\right)^{0} \)
Ask by Wang Wilson. in South Africa
Feb 18,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression simplifies to 5x.
Solution
Any expression (except 0) raised to the power of 0 is 1. Here, the term in parentheses is raised to the 0 power. So, regardless of its contents (assuming a and b are nonzero), it simplifies as follows:
5x × (anything non-zero)^0
= 5x × 1
= 5x
Thus, the simplified expression is 5x.
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Simplify this solution Extra Insights
Regardless of the values of \( a \) and \( b \), any expression raised to the power of zero is equal to one. So, \( \left(\frac{3 a b^{6}}{2 a^{3} b^{5}}\right)^{0} = 1 \). Therefore, the expression simplifies to: \[ 5x \cdot 1 = 5x \] So, the final answer is \( 5x \).
