Convert lambda to fifth

Learn how to convert 1 lambda to fifth step by step.

Calculation Breakdown

Set up the equation

1.0 (l a m b d a) = x (f i f t h)

Define the base values of the selected units in relation to the SI unit

(c u b i c m e t e r)

Left side: 1.0 (l a m b d a) = 10^{- 9} (c u b i c m e t e r) = 10^{- 9} (m^{3})

Right side: 1.0 (f i f t h) = 7.570823568 \times 10^{- 4} (c u b i c m e t e r) = 7.570823568 \times 10^{- 4} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (l a m b d a) = x (f i f t h)

Insert known values =>

1.0 \times 10^{- 9} \times (c u b i c m e t e r) = x \times 7.570823568 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 10^{- 9} \cdot (m^{3}) = x \cdot 7.570823568 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 10^{- 9} \cdot (m^{3}) = x \times 7.570823568 \times 10^{- 4} \times (m^{3})

Conversion Equation

10^{- 9} = x \times 7.570823568 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

{10^{- 9}}^{10^{- 5}} = x \times 7.570823568 \times 10^{- 4}

Simplify

10^{- 5} = x \times 7.570823568

Switch sides

x \times 7.570823568 = 10^{- 5}

Isolate

x

Multiply both sides by

(\frac{1.0}{7.570823568})

x \times 7.570823568 \times \frac{1.0}{7.570823568} = 10^{- 5} \times \frac{1.0}{7.570823568}

Cancel

x \times 7.570823568 \times \frac{1.0}{7.570823568} = 10^{- 5} \times \frac{1.0}{7.570823568}

Simplify

x = \frac{10^{- 5}}{7.570823568}

Solve

x

x \approx 0.0000013209 \approx 1.3209 \times 10^{- 6}

Conversion Equation

1.0 (l a m b d a) \approx 1.3209 \times 10^{- 6} (f i f t h)

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