What is 3.25*10^{-22} ?

The solution to 3.25*10^{-22} is (13)/(4*10^{22)}

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simplify 3.25*10^{-22}

simplify

3.25 \cdot 1 0^{- 22}

\frac{13}{4 \cdot 1 0 ^{22}}

Decimal Notation

3.25 E - 22

Solution steps

3.25 \cdot 1 0^{- 22}

Apply exponent rule:

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

1 0^{- 22} = \frac{1}{1 0 ^{22}}

= 3.25 \cdot \frac{1}{1 0 ^{22}}

3.25 \cdot \frac{1}{1 0 ^{22}} = \frac{3.25}{1 0 ^{22}}

= \frac{3.25}{1 0 ^{22}}

\frac{3.25}{1 0 ^{22}} = \frac{325}{100 \cdot 1 0 ^{22}}

= \frac{325}{100 \cdot 1 0 ^{22}}

Factor the number:

325 = 25 \cdot 13

= \frac{25 \cdot 13}{100 \cdot 1 0 ^{22}}

Factor the number:

100 = 25 \cdot 4

= \frac{25 \cdot 13}{25 \cdot 4 \cdot 1 0 ^{22}}

Cancel the common factor:

25

= \frac{13}{4 \cdot 1 0 ^{22}}

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