What is 1.6*10^9*7.6^{-19} ?

The solution to 1.6*10^9*7.6^{-19} is 10^9*8/(5*7.6^{19)}

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simplify 1.610^97.6^{-19}

simplify

1.6 \cdot 1 0^{9} \cdot 7. 6^{- 19}

1 0^{9} \cdot \frac{8}{5 \cdot 7. 6 ^{19}}

Decimal Notation

2.94213 E - 8

Solution steps

1.6 \cdot 1 0^{9} \cdot 7. 6^{- 19}

Apply exponent rule:

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

7. 6^{- 19} = \frac{1}{7. 6 ^{19}}

= 1.6 \cdot 1 0^{9} \cdot \frac{1}{7. 6 ^{19}}

1.6 \cdot 1 0^{9} \cdot \frac{1}{7. 6 ^{19}} = \frac{1.6}{7. 6 ^{19}} \cdot 1 0^{9}

= \frac{1.6}{7. 6 ^{19}} \cdot 1 0^{9}

\frac{1.6}{7. 6 ^{19}} = \frac{16}{10 \cdot 7. 6 ^{19}}

= \frac{16}{10 \cdot 7. 6 ^{19}} \cdot 1 0^{9}

Cancel

\frac{16}{10 \cdot 7. 6 ^{19}} : \frac{8}{5 \cdot 7. 6 ^{19}}

= \frac{8}{5 \cdot 7. 6 ^{19}} \cdot 1 0^{9}

= 1 0^{9} \cdot \frac{8}{5 \cdot 7. 6 ^{19}}

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What is 1.6*10^9*7.6^{-19} ?
The solution to 1.6*10^9*7.6^{-19} is 10^9*8/(5*7.6^{19)}