Math, asked by notagonygirl, 7 months ago

Find the value of x( 5/13) -⁵ × (5/13) -¹⁰ = (5/13) ⁸x +1​

Answers

Answered by Anonymous
1

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\longrightarrow \sf \bigg({ \frac{5}{13} \bigg)}^{ - 5} \times  \bigg({ \frac{5}{13} \bigg)}^{ - 10} = \bigg({ \frac{5}{13} \bigg)}^{8x + 1} \\  \\\longrightarrow \sf \bigg({ \frac{5}{13} \bigg)}^{ - 5 - 10} = \bigg({ \frac{5}{13} \bigg)}^{ 8x + 1} \\  \\\longrightarrow \sf \bigg({ \frac{5}{13} \bigg)}^{ - 15} = \bigg({ \frac{5}{13} \bigg)}^{8x + 1} \\  \\\longrightarrow \sf  - 15 = 8x + 1 \\  \\\longrightarrow \sf 8x =  - 15 - 1 \\  \\ \longrightarrow \sf8x =  - 16 \\  \\\longrightarrow \sf x =   - \frac{16}{8}  \\  \\\longrightarrow \boxed{ \sf x =  - 2}

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