What is 2.8*8.8^{-12} ?

The solution to 2.8*8.8^{-12} is (14)/(5*8.8^{12)}

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simplify 2.8*8.8^{-12}

simplify

2.8 \cdot 8. 8^{- 12}

\frac{14}{5 \cdot 8. 8 ^{12}}

Decimal Notation

1.29827 E - 11

Solution steps

2.8 \cdot 8. 8^{- 12}

Apply exponent rule:

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

8. 8^{- 12} = \frac{1}{8. 8 ^{12}}

= 2.8 \cdot \frac{1}{8. 8 ^{12}}

2.8 \cdot \frac{1}{8. 8 ^{12}} = \frac{2.8}{8. 8 ^{12}}

= \frac{2.8}{8. 8 ^{12}}

\frac{2.8}{8. 8 ^{12}} = \frac{28}{10 \cdot 8. 8 ^{12}}

= \frac{28}{10 \cdot 8. 8 ^{12}}

Factor the number:

28 = 2 \cdot 14

= \frac{2 \cdot 14}{10 \cdot 8. 8 ^{12}}

Factor the number:

10 = 2 \cdot 5

= \frac{2 \cdot 14}{2 \cdot 5 \cdot 8. 8 ^{12}}

Cancel the common factor:

2

= \frac{14}{5 \cdot 8. 8 ^{12}}

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