What is 1.3558*(10^8)^{-0.0178} ?

The solution to 1.3558*(10^8)^{-0.0178} is (6779)/(5000*10^{0.1424)}

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simplify 1.3558*(10^8)^{-0.0178}

simplify

1.3558 \cdot (1 0^{8})^{- 0.0178}

\frac{6779}{5000 \cdot 1 0 ^{0.1424}}

Decimal Notation

0.97677 \dots

Solution steps

1.3558 (1 0^{8})^{- 0.0178}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

(1 0^{8})^{- 0.0178} = 1 0^{8 (- 0.0178)}

= 1.3558 \cdot 1 0^{8 (- 0.0178)}

8 (- 0.0178) = - 0.1424

= 1.3558 \cdot 1 0^{- 0.1424}

Apply exponent rule:

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

1 0^{- 0.1424} = \frac{1}{1 0 ^{0.1424}}

= 1.3558 \cdot \frac{1}{1 0 ^{0.1424}}

1.3558 \cdot \frac{1}{1 0 ^{0.1424}} = \frac{1.3558}{1 0 ^{0.1424}}

= \frac{1.3558}{1 0 ^{0.1424}}

\frac{1.3558}{1 0 ^{0.1424}} = \frac{13558}{10000 \cdot 1 0 ^{0.1424}}

= \frac{13558}{10000 \cdot 1 0 ^{0.1424}}

Factor the number:

13558 = 2 \cdot 6779

= \frac{2 \cdot 6779}{10000 \cdot 1 0 ^{0.1424}}

Factor the number:

10000 = 2 \cdot 5000

= \frac{2 \cdot 6779}{2 \cdot 5000 \cdot 1 0 ^{0.1424}}

Cancel the common factor:

2

= \frac{6779}{5000 \cdot 1 0 ^{0.1424}}

m^{3} n^{4} (m^{2} n)

680 e^{- 0.0892}

(e^{t})^{2} \cdot e^{- 2 t}

3^{\frac{1}{3}}

What is 1.3558*(10^8)^{-0.0178} ?
The solution to 1.3558*(10^8)^{-0.0178} is (6779)/(5000*10^{0.1424)}