Question

please solve this question​

Answer 1

Step-by-step explanation:

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Answer 2

Given:

$\implies \sf \dfrac{5^{2(x+6)} \times (25)^{-7+2x}}{(125)^{2x}}$

To Find:

$\implies \sf \dfrac{5^{2(x+6)} \times (25)^{-7+2x}}{(125)^{2x}} = ?$

Solution:

$\implies \sf \dfrac{5^{2(x+6)} \times (25)^{-7+2x}}{(125)^{2x}}$

$\implies \sf \dfrac{5^{2x+12} \times 25^{-7+2x}}{125^{2x}}$

$\implies \sf \dfrac{5^{2x+12} \times 5^{-14+4x}}{125^{2x}}$

$\implies \sf \dfrac{5^{2x+12} \times 5^{-14+4x}}{5^{6x}}$

$\implies \sf \dfrac{5^{6x-2}}{5^{6x}}$

$\implies \sf \dfrac{1}{5^2}$

$\quad \large \dag {\underline{\boxed{\sf = \dfrac{1}{25}}}}$