What is 76(300^{-0.24})(400^{0.25}) ?

The solution to 76(300^{-0.24})(400^{0.25}) is 400^{0.25}*(76)/(300^{0.24)}

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simplify 76(300^{-0.24})(400^{0.25})

simplify

76 (30 0^{- 0.24}) (40 0^{0.25})

40 0^{0.25} \cdot \frac{76}{30 0 ^{0.24}}

Decimal Notation

86.46084 \dots

Solution steps

76 (30 0^{- 0.24}) (40 0^{0.25})

76 (30 0^{- 0.24}) (40 0^{0.25}) = 76 \cdot 30 0^{- 0.24} \cdot 40 0^{0.25}

= 76 \cdot 30 0^{- 0.24} \cdot 40 0^{0.25}

Apply exponent rule:

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

30 0^{- 0.24} = \frac{1}{30 0 ^{0.24}}

= 76 \cdot \frac{1}{30 0 ^{0.24}} \cdot 40 0^{0.25}

76 \cdot \frac{1}{30 0 ^{0.24}} \cdot 40 0^{0.25} = \frac{76}{30 0 ^{0.24}} \cdot 40 0^{0.25}

= \frac{76}{30 0 ^{0.24}} \cdot 40 0^{0.25}

= 40 0^{0.25} \cdot \frac{76}{30 0 ^{0.24}}

6 \cdot e^{- 1} \cdot (- \frac{2}{16})

\frac{9. 8 ^{2}}{3.5432 9 ^{2}}

6.53 \cdot 1 0^{- 6} \cdot 2.7

\frac{2 ^{x + y + 22}}{5 ^{x + y + 22}}

c^{n} \cdot 2^{n}

What is 76(300^{-0.24})(400^{0.25}) ?
The solution to 76(300^{-0.24})(400^{0.25}) is 400^{0.25}*(76)/(300^{0.24)}