Convert zebi to yobi

Learn how to convert 1 zebi to yobi step by step.

Calculation Breakdown

Set up the equation

1.0 (z e b i) = x (y o b i)

Define the prefix value(s)

T h e v a l u e o f z e b i i s {2.0}^{70}

T h e v a l u e o f y o b i i s {2.0}^{80}

Insert known values into the conversion equation to determine

x

1.0 (z e b i) = x (y o b i)

Insert known values =>

1.0 \times {2.0}^{70} = x \times {2.0}^{80}

Or

1.0 \cdot {2.0}^{70} = x \cdot {2.0}^{80}

Conversion Equation

{2.0}^{70} = x \times {2.0}^{80}

Cancel factors on both sides

Cancel factors

{2.0}^{70} = x \times {2.0}^{80}^{2^{10}}

Simplify

1.0 = x \times 2^{10}

Switch sides

x \times 2^{10} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{2^{10}})

x \times 2^{10} \times \frac{1.0}{2^{10}} = \times \frac{1.0}{2^{10}}

Cancel

x \times 2^{10} \times \frac{1.0}{2^{10}} = \frac{1.0}{2^{10}}

Simplify

x = \frac{1.0}{2^{10}}

Rewrite equation

\frac{1.0}{2^{10}} can be rewritten to 2^{- 10}

Rewrite

x = 2^{- 10}

Solve

x

x = 0.0009765625 \approx 9.7656 \times 10^{- 4}

Conversion Equation

1.0 (z e b i) \approx 9.7656 \times 10^{- 4} (y o b i)

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