Question

Question 25:
${\dashrightarrow{ \sf{ \large{ \bigg( \dfrac{11}{15} \bigg) {}^{ {}^{4} } \times ( ??) {}^{ {}^{5} } = \bigg( \dfrac{11}{15} \bigg) {}^{ {}^{9} } }}}}$
${ \underline {\rule{9999pt}{3pt}}}$
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Answer 1

Step-by-step explanation:

$\huge\bf{\overline{\underline{Answer:-}}}$

$( \frac{11}{15} )^{4} \times {x}^{5} = ( \frac{11}{15} )^{9} \\ \\ x {}^{5} = ( \frac{11}{15} )^{9} \times ( \frac{11}{15} )^{ - 4} \\ \\ x {}^{5} = ( \frac{11}{15} )^{(9 - 4)} \\ \\ x {}^{5} = ( \frac{11}{15} )^{5} \\ \\ x = \frac{11}{15}$