What is 8.69*10^6*0.25^{1.75}*53.4^{-4.75} ?

The solution to 8.69*10^6*0.25^{1.75}*53.4^{-4.75} is 10^6*0.25^{1.75}*(869)/(100*53.4^{4.75)}

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simplify 8.6910^60.25^{1.75}*53.4^{-4.75}

simplify

8.69 \cdot 1 0^{6} \cdot 0.2 5^{1.75} \cdot 53. 4^{- 4.75}

1 0^{6} \cdot 0.2 5^{1.75} \cdot \frac{869}{100 \cdot 53. 4 ^{4.75}}

Decimal Notation

0.00478 \dots

Solution steps

8.69 \cdot 1 0^{6} \cdot 0.2 5^{1.75} \cdot 53. 4^{- 4.75}

Apply exponent rule:

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

53. 4^{- 4.75} = \frac{1}{53. 4 ^{4.75}}

= 8.69 \cdot 1 0^{6} \cdot 0.2 5^{1.75} \cdot \frac{1}{53. 4 ^{4.75}}

8.69 \cdot 1 0^{6} \cdot 0.2 5^{1.75} \cdot \frac{1}{53. 4 ^{4.75}} = \frac{8.69}{53. 4 ^{4.75}} \cdot 1 0^{6} \cdot 0.2 5^{1.75}

= \frac{8.69}{53. 4 ^{4.75}} \cdot 1 0^{6} \cdot 0.2 5^{1.75}

\frac{8.69}{53. 4 ^{4.75}} = \frac{869}{100 \cdot 53. 4 ^{4.75}}

= \frac{869}{100 \cdot 53. 4 ^{4.75}} \cdot 1 0^{6} \cdot 0.2 5^{1.75}

= 1 0^{6} \cdot 0.2 5^{1.75} \cdot \frac{869}{100 \cdot 53. 4 ^{4.75}}

9.44 \cdot 1 0^{- 6} \cdot \frac{159}{0.2 1 ^{2}}

- e^{- \frac{1}{2}}

\frac{( 1 - 2 x ) ^{2}}{( 1 - x ) ^{2}}

5^{2} (e^{- \frac{5}{2}})

- 5.137124316 \cdot 1 0^{- 5}

What is 8.69*10^6*0.25^{1.75}*53.4^{-4.75} ?
The solution to 8.69*10^6*0.25^{1.75}*53.4^{-4.75} is 10^6*0.25^{1.75}*(869)/(100*53.4^{4.75)}