What is 2.5*600^{0.75}*100^{-0.75} ?

The solution to 2.5*600^{0.75}*100^{-0.75} is 600^{0.75}*5/(2*100^{0.75)}

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simplify 2.5600^{0.75}100^{-0.75}

simplify

2.5 \cdot 60 0^{0.75} \cdot 10 0^{- 0.75}

60 0^{0.75} \cdot \frac{5}{2 \cdot 10 0 ^{0.75}}

Decimal Notation

9.58414 \dots

Solution steps

2.5 \cdot 60 0^{0.75} \cdot 10 0^{- 0.75}

Apply exponent rule:

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

10 0^{- 0.75} = \frac{1}{10 0 ^{0.75}}

= 2.5 \cdot 60 0^{0.75} \cdot \frac{1}{10 0 ^{0.75}}

2.5 \cdot 60 0^{0.75} \cdot \frac{1}{10 0 ^{0.75}} = \frac{2.5}{10 0 ^{0.75}} \cdot 60 0^{0.75}

= \frac{2.5}{10 0 ^{0.75}} \cdot 60 0^{0.75}

\frac{2.5}{10 0 ^{0.75}} = \frac{25}{10 \cdot 10 0 ^{0.75}}

= \frac{25}{10 \cdot 10 0 ^{0.75}} \cdot 60 0^{0.75}

Cancel

\frac{25}{10 \cdot 10 0 ^{0.75}} : \frac{5}{2 \cdot 10 0 ^{0.75}}

= \frac{5}{2 \cdot 10 0 ^{0.75}} \cdot 60 0^{0.75}

= 60 0^{0.75} \cdot \frac{5}{2 \cdot 10 0 ^{0.75}}

(1.2 \cdot 1 0^{- 5} (c)^{- 1}) \cdot 5 c

- 2 x e^{- x^{2}} (1 - 2 x^{2})

1.83 \cdot 1 0^{- 6}

6 \cdot e^{- 5}

6 \cdot e^{- 6}

What is 2.5*600^{0.75}*100^{-0.75} ?
The solution to 2.5*600^{0.75}*100^{-0.75} is 600^{0.75}*5/(2*100^{0.75)}