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Popular >

simplify 2(1/5)^{-2}

Solution

simplify

2 (\frac{1}{5})^{- 2}

Solution

50

Solution steps

2 (\frac{1}{5})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{1}{5})^{- 2} = \frac{1}{( \frac{1}{5} ) ^{2}}

= 2 \cdot \frac{1}{( \frac{1}{5} ) ^{2}}

(\frac{1}{5})^{2} = \frac{1}{25}

= 2 \cdot \frac{1}{\frac{1}{25}}

\frac{1}{\frac{1}{25}} = 25

= 2 \cdot 25

Multiply the numbers:

2 \cdot 25 = 50

= 50

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Frequently Asked Questions (FAQ)

What is 2(1/5)^{-2} ?
The solution to 2(1/5)^{-2} is 50