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Popular >

simplify sqrt(10^{-4.8)}

Solution

simplify

1 0^{- 4.8}

Solution

+1

Decimal Notation

0.00398 \dots

Solution steps

1 0^{- 4.8}

Apply exponent rule:

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

1 0^{- 4.8} = \frac{1}{1 0 ^{4.8}}

= \frac{1}{1 0 ^{4.8}}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{1}{1 0 ^{4.8}}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{1 0 ^{4.8}}

1 0^{4.8} = 1 0^{\frac{2}{5}} \cdot 100

= \frac{1}{1 0 ^{\frac{2}{5}} \cdot 100}

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Frequently Asked Questions (FAQ)

What is sqrt(10^{-4.8)} ?
The solution to sqrt(10^{-4.8)} is 1/(\sqrt[5]{10^2)*100}