Convert yotta to yocto

Learn how to convert 1 yotta to yocto step by step.

Calculation Breakdown

Set up the equation

1.0 (y o t t a) = x (y o c t o)

Define the prefix value(s)

T h e v a l u e o f y o t t a i s 10^{24}

T h e v a l u e o f y o c t o i s 10^{- 24}

Insert known values into the conversion equation to determine

x

1.0 (y o t t a) = x (y o c t o)

Insert known values =>

1.0 \times 10^{24} = x \times 10^{- 24}

Or

1.0 \cdot 10^{24} = x \cdot 10^{- 24}

Conversion Equation

10^{24} = x \times 10^{- 24}

Switch sides

x \times 10^{- 24} = 10^{24}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 24}})

x \times 10^{- 24} \times \frac{1.0}{10^{- 24}} = 10^{24} \times \frac{1.0}{10^{- 24}}

Cancel

x \times 10^{- 24} \times \frac{1.0}{10^{- 24}} = 10^{24} \times \frac{1.0}{10^{- 24}}

Simplify

x = \frac{10^{24}}{10^{- 24}}

Rewrite equation

\frac{1.0}{10^{- 24}} can be rewritten to 10^{24}

Rewrite

x = 10^{24} \times 10^{24}

Simplify

x = 10^{48}

Solve

x

x = 10^{48}

Conversion Equation

1.0 (y o t t a) = 10^{48} (y o c t o)

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