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## Common Misconceptions (Algebra)

Arm yourself with the tools to be the king or queen of heady mathematical debates, like the age old question of whether 0.999.... = 1.

# Exponents Misconceptions

$\big(x^2\big)^3 =\, ?$

If $$x^5 = 3$$, then $(2x)^5 =$

If $$x = 5$$, then $$\sqrt{x^2} =$$

Which of the following is equal to $$2^{-3}\text{?}$$

For which choices of $$a$$ and $$b$$ is the equation $(ab)^\frac{1}{2} = a^\frac{1}{2}\cdot b^\frac{1}{2}$

not true?

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