What is \sqrt[6]{10^{-11.4}} ?

The solution to \sqrt[6]{10^{-11.4}} is 1/(\sqrt[6]{10^{11.4)}}

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Popular >

simplify \sqrt[6]{10^{-11.4}}

simplify

6 1 0^{- 11.4}

\frac{1}{6 1 0 ^{11.4}}

Decimal

0.01258 \dots

Solution steps

6 1 0^{- 11.4}

Apply exponent rule:

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

1 0^{- 11.4} = \frac{1}{1 0 ^{11.4}}

= 6 \frac{1}{1 0 ^{11.4}}

Apply radical rule:

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

= \frac{6 1}{6 1 0 ^{11.4}}

Apply radical rule:

n 1 = 1

61 = 1

= \frac{1}{6 1 0 ^{11.4}}

3532

8.371 \cdot 1 0^{- 7} m

3 7^{1}

\frac{e ^{x^{3}}}{e ^{x}}

10 1 3^{5}

What is \sqrt[6]{10^{-11.4}} ?
The solution to \sqrt[6]{10^{-11.4}} is 1/(\sqrt[6]{10^{11.4)}}