What is (10^{-0.1})36.458 ?

The solution to (10^{-0.1})36.458 is (18229)/(500*10^{0.1)}

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simplify (10^{-0.1})36.458

simplify

(1 0^{- 0.1}) 36.458

\frac{18229}{500 \cdot 1 0 ^{0.1}}

Decimal Notation

28.95961 \dots

Solution steps

(1 0^{- 0.1}) \cdot 36.458

Apply rule:

(a) = a

(1 0^{- 0.1}) = 1 0^{- 0.1}

= 1 0^{- 0.1} \cdot 36.458

Apply exponent rule:

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

1 0^{- 0.1} = \frac{1}{1 0 ^{0.1}}

= \frac{1}{1 0 ^{0.1}} \cdot 36.458

\frac{1}{1 0 ^{0.1}} \cdot 36.458 = \frac{36.458}{1 0 ^{0.1}}

= \frac{36.458}{1 0 ^{0.1}}

\frac{36.458}{1 0 ^{0.1}} = \frac{36458}{1000 \cdot 1 0 ^{0.1}}

= \frac{36458}{1000 \cdot 1 0 ^{0.1}}

Factor the number:

36458 = 2 \cdot 18229

= \frac{2 \cdot 18229}{1000 \cdot 1 0 ^{0.1}}

Factor the number:

1000 = 2 \cdot 500

= \frac{2 \cdot 18229}{2 \cdot 500 \cdot 1 0 ^{0.1}}

Cancel the common factor:

2

= \frac{18229}{500 \cdot 1 0 ^{0.1}}

\frac{5 z}{2 x}

(a - b) (a + b)

f (e^{- e ω t})

(5 x^{4} y^{2}) (3 x^{2} y^{3})

6 \cdot 1 + x^{2}

What is (10^{-0.1})36.458 ?
The solution to (10^{-0.1})36.458 is (18229)/(500*10^{0.1)}