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Question

By what number should we multiply $$(-6)^{-1}$$ so that the product is $$10^{-1}$$?

Solution
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Product = $$10^{-1}$$
Required number = $$10^{-1} \div (-6)^{-1}$$
$$=\dfrac{1}{10} \div \dfrac{1}{-6}$$
$$=\dfrac{1}{10} \times \dfrac{-6}{1}$$
$$=\dfrac{-3}{5}$$

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