What is 53.998*0.3^{-0.576} ?

The solution to 53.998*0.3^{-0.576} is (26999)/(500*0.3^{0.576)}

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simplify 53.998*0.3^{-0.576}

simplify

53.998 \cdot 0. 3^{- 0.576}

\frac{26999}{500 \cdot 0. 3 ^{0.576}}

Decimal Notation

108.03284 \dots

Solution steps

53.998 \cdot 0. 3^{- 0.576}

Apply exponent rule:

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

0. 3^{- 0.576} = \frac{1}{0. 3 ^{0.576}}

= 53.998 \cdot \frac{1}{0. 3 ^{0.576}}

53.998 \cdot \frac{1}{0. 3 ^{0.576}} = \frac{53.998}{0. 3 ^{0.576}}

= \frac{53.998}{0. 3 ^{0.576}}

\frac{53.998}{0. 3 ^{0.576}} = \frac{53998}{1000 \cdot 0. 3 ^{0.576}}

= \frac{53998}{1000 \cdot 0. 3 ^{0.576}}

Factor the number:

53998 = 2 \cdot 26999

= \frac{2 \cdot 26999}{1000 \cdot 0. 3 ^{0.576}}

Factor the number:

1000 = 2 \cdot 500

= \frac{2 \cdot 26999}{2 \cdot 500 \cdot 0. 3 ^{0.576}}

Cancel the common factor:

2

= \frac{26999}{500 \cdot 0. 3 ^{0.576}}

π e^{- 0}

8.53 \cdot 1 0^{- 5}

6.18 \cdot 1 0^{- 5}

8.53 \cdot 1 0^{- 4}

x^{- l n (x)}

What is 53.998*0.3^{-0.576} ?
The solution to 53.998*0.3^{-0.576} is (26999)/(500*0.3^{0.576)}