Math, asked by mikugomes1982, 2 days ago

pls solve
maths find so that in pitcher

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Answered by Nighted
4

 \sf  \color{blue}Solution

  \left(\begin{array}{c} \dfrac{8}{3} \\  \end{array}\right) ^{ - 5}  \times   \left(\begin{array}{c} \dfrac{8}{3} \\  \end{array}\right) ^{ - 11}   =   \left(\begin{array}{c} \dfrac{8}{3} \\  \end{array}\right) ^{ \sf \: 8m}

Having same base therefore use the so called formula - aᵐ × aⁿ = a ᵐ+ⁿ. Also, comparing exponential powers at the same time.

 \sf  - 5 + ( - 11) = 8m

 \sf - 16 = 8m

 \bf \: m \:  =  - 2

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