Convert deci to zepto

Learn how to convert 1 deci to zepto step by step.

Calculation Breakdown

Set up the equation

1.0 (d e c i) = x (z e p t o)

Define the prefix value(s)

T h e v a l u e o f d e c i i s 10^{- 1}

T h e v a l u e o f z e p t o i s 10^{- 21}

Insert known values into the conversion equation to determine

x

1.0 (d e c i) = x (z e p t o)

Insert known values =>

1.0 \times 10^{- 1} = x \times 10^{- 21}

Or

1.0 \cdot 10^{- 1} = x \cdot 10^{- 21}

Conversion Equation

10^{- 1} = x \times 10^{- 21}

Cancel factors on both sides

Cancel factors

10^{- 1} = x \times {10^{- 21}}^{10^{- 20}}

Simplify

1.0 = x \times 10^{- 20}

Switch sides

x \times 10^{- 20} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 20}})

x \times 10^{- 20} \times \frac{1.0}{10^{- 20}} = \times \frac{1.0}{10^{- 20}}

Cancel

x \times 10^{- 20} \times \frac{1.0}{10^{- 20}} = \frac{1.0}{10^{- 20}}

Simplify

x = \frac{1.0}{10^{- 20}}

Rewrite equation

\frac{1.0}{10^{- 20}} can be rewritten to 10^{20}

Rewrite

x = 10^{20}

Solve

x

x = 10^{20}

Conversion Equation

1.0 (d e c i) = 10^{20} (z e p t o)

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