Question 75

If $$ 27^{20} ÷ 27^{10} = 3^{k}$$ , then find the value of K.

Solution

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$$ 27^{20} ÷ 27^{10} = 3^{k}$$

$$ \Rightarrow 27^{10} = 3^{k}$$

$$ \Rightarrow 3^{3 \times 10} = 3^{k}$$
$$ \Rightarrow k = 30$$

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