What is 278989079.8*270^{-2.6} ?

The solution to 278989079.8*270^{-2.6} is (1394945399)/(5*270^{2.6)}

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simplify 278989079.8*270^{-2.6}

simplify

278989079.8 \cdot 27 0^{- 2.6}

\frac{1394945399}{5 \cdot 27 0 ^{2.6}}

Decimal Notation

133.05813 \dots

Solution steps

278989079.8 \cdot 27 0^{- 2.6}

Apply exponent rule:

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

27 0^{- 2.6} = \frac{1}{27 0 ^{2.6}}

= 278989079.8 \cdot \frac{1}{27 0 ^{2.6}}

278989079.8 \cdot \frac{1}{27 0 ^{2.6}} = \frac{278989079.8}{27 0 ^{2.6}}

= \frac{278989079.8}{27 0 ^{2.6}}

\frac{278989079.8}{27 0 ^{2.6}} = \frac{2789890798}{10 \cdot 27 0 ^{2.6}}

= \frac{2789890798}{10 \cdot 27 0 ^{2.6}}

Factor the number:

2789890798 = 2 \cdot 1394945399

= \frac{2 \cdot 1394945399}{10 \cdot 27 0 ^{2.6}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 1394945399}{2 \cdot 5 \cdot 27 0 ^{2.6}}

Cancel the common factor:

2

= \frac{1394945399}{5 \cdot 27 0 ^{2.6}}

(5.8 x 1 0^{- 6}) (2 x 1 0^{4})

(3 y^{7}) (4 y^{3})

(e^{3 x})^{2} d x

0.0000054 \cdot 1 0^{- 6}

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

What is 278989079.8*270^{-2.6} ?
The solution to 278989079.8*270^{-2.6} is (1394945399)/(5*270^{2.6)}