Question

Please solve this. i have test tomorrow​

Answer 1

Step-by-step explanation:

given,

LHS

$\frac{25 \times {2x}^{ - 4} }{ {5}^{ - 2} \times 10 {x}^{ - 6} }$

We know that when a power of anything when brought from numerator to denominator or vice-versa changes its sign

so,

$\frac{25 \times {5}^{2} \times {x}^{6} }{2 {x}^{4} \times 10}$

$\frac{25 \times 25 \times {x}^{6} }{20 \times {x}^{4} }$

x⁴ and x⁶ makes x² in numerator

so it becomes 125x²

therefore, LHS=RHS

hence proved.

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