Question

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Answer 1

Step-by-step explanation:

see the attachment

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Answer 2

Solution

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$\tt\:⟼ {5}^{10} \div {5}^{8} = ( \frac{1}{5} ) {}^{x}$

$\tt\:⟼ \frac{ {5}^{10} }{ {5}^{8} } = ( \frac{1}{5} ) {}^{x}$

$\tt\:⟼ {5}^{2} = \frac{1}{5} x$

$⟼\frac{1 {}^{ - 2} }{5} = \frac{1 {}^{ x} }{5}$

As the Bases are same, equate the powers.

$\tt\:⟼ - 2 = x$

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• Hence, the value of x is -2