What is 10^{-100}*10^{50} ?

The solution to 10^{-100}*10^{50} is 1/(10^{50)}

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simplify 10^{-100}*10^{50}

simplify

1 0^{- 100} \cdot 1 0^{50}

\frac{1}{1 0 ^{50}}

Decimal Notation

1.0 E - 50

Solution steps

1 0^{- 100} \cdot 1 0^{50}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{- 100} \cdot 1 0^{50} = 1 0^{- 100 + 50}

= 1 0^{- 100 + 50}

Add/Subtract the numbers:

- 100 + 50 = - 50

= 1 0^{- 50}

Apply exponent rule:

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

1 0^{- 50} = \frac{1}{1 0 ^{50}}

= \frac{1}{1 0 ^{50}}

4 \cdot 1 0^{9}

- 23 - 23

- 9 + (- 12)

\frac{- ( b )}{2 ( a )}

\frac{1}{5} (2)