Which expressions are equivalent to \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}
Question
Which expressions are equivalent to \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}\cdot \dfrac{1}{5}
Solution
The given expression is a multiplication of the fraction 1/5 four times. This can be written in several equivalent forms:
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As a power: This means "1/5 multiplied by itself 4 times".
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As a decimal: This is because 1/5 is equivalent to 0.2.
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As a fraction: This is because 5^4 = 625, so (1/5)^4 = 1/625.
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As a decimal: This is because 1/625 is equivalent to 0.0016.
So, the expressions equivalent to are , , , and .
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