What is (1.56\times 10^{-9})^{-1/8} ?

The solution to (1.56\times 10^{-9})^{-1/8} is (10*5^{3/8}*2^{1/8})/(39^{1/8)}

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simplify (1.56\times 10^{-9})^{-1/8}

simplify

(1.56 \cdot 1 0^{- 9})^{- \frac{1}{8}}

\frac{10 \cdot 5 ^{\frac{3}{8}} \cdot 2 ^{\frac{1}{8}}}{3 9 ^{\frac{1}{8}}}

Decimal Notation

12.61419 \dots

Solution steps

(1.56 \cdot 1 0^{- 9})^{- \frac{1}{8}}

Apply exponent rule:

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

(1.56 \cdot 1 0^{- 9})^{- \frac{1}{8}} = \frac{1}{( 1.56 \cdot 1 0 ^{- 9} ) ^{\frac{1}{8}}}

= \frac{1}{( 1.56 \cdot 1 0 ^{- 9} ) ^{\frac{1}{8}}}

(1.56 \cdot 1 0^{- 9})^{\frac{1}{8}} = \frac{3 9 ^{\frac{1}{8}}}{10 \cdot 5 ^{\frac{3}{8}} \cdot 2 ^{\frac{1}{8}}}

= \frac{1}{\frac{3 9 ^{\frac{1}{8}}}{10 \cdot 5 ^{\frac{3}{8}} \cdot 2 ^{\frac{1}{8}}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{10 \cdot 5 ^{\frac{3}{8}} \cdot 2 ^{\frac{1}{8}}}{3 9 ^{\frac{1}{8}}}

\frac{x y}{x ^{2}}

- 2 \cdot (- 2)

- \frac{4}{5} (- \frac{1}{8})

9 \cdot (- 5)

lo g_{\frac{1}{3}} (0)

What is (1.56\times 10^{-9})^{-1/8} ?
The solution to (1.56\times 10^{-9})^{-1/8} is (10*5^{3/8}*2^{1/8})/(39^{1/8)}