What is 8.69*10^6*0.15^{1.75}*21.4^{-4.75} ?

The solution to 8.69*10^6*0.15^{1.75}*21.4^{-4.75} is 10^6*0.15^{1.75}*(869)/(100*21.4^{4.75)}

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simplify 8.6910^60.15^{1.75}*21.4^{-4.75}

simplify

8.69 \cdot 1 0^{6} \cdot 0.1 5^{1.75} \cdot 21. 4^{- 4.75}

1 0^{6} \cdot 0.1 5^{1.75} \cdot \frac{869}{100 \cdot 21. 4 ^{4.75}}

Decimal Notation

0.15056 \dots

Solution steps

8.69 \cdot 1 0^{6} \cdot 0.1 5^{1.75} \cdot 21. 4^{- 4.75}

Apply exponent rule:

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

21. 4^{- 4.75} = \frac{1}{21. 4 ^{4.75}}

= 8.69 \cdot 1 0^{6} \cdot 0.1 5^{1.75} \cdot \frac{1}{21. 4 ^{4.75}}

8.69 \cdot 1 0^{6} \cdot 0.1 5^{1.75} \cdot \frac{1}{21. 4 ^{4.75}} = \frac{8.69}{21. 4 ^{4.75}} \cdot 1 0^{6} \cdot 0.1 5^{1.75}

= \frac{8.69}{21. 4 ^{4.75}} \cdot 1 0^{6} \cdot 0.1 5^{1.75}

\frac{8.69}{21. 4 ^{4.75}} = \frac{869}{100 \cdot 21. 4 ^{4.75}}

= \frac{869}{100 \cdot 21. 4 ^{4.75}} \cdot 1 0^{6} \cdot 0.1 5^{1.75}

= 1 0^{6} \cdot 0.1 5^{1.75} \cdot \frac{869}{100 \cdot 21. 4 ^{4.75}}

(e^{- 2})^{3}

9 e^{- 2}

e^{- (\frac{3}{10})^{2}}

7.59 \cdot 1 0^{- 2}

5.1 \cdot 1 0^{- 5}

What is 8.69*10^6*0.15^{1.75}*21.4^{-4.75} ?
The solution to 8.69*10^6*0.15^{1.75}*21.4^{-4.75} is 10^6*0.15^{1.75}*(869)/(100*21.4^{4.75)}