What is 1.4488(10^8)^{-0.023} ?

The solution to 1.4488(10^8)^{-0.023} is (1811)/(1250*10^{0.184)}

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simplify 1.4488(10^8)^{-0.023}

simplify

1.4488 (1 0^{8})^{- 0.023}

\frac{1811}{1250 \cdot 1 0 ^{0.184}}

Decimal Notation

0.94843 \dots

Solution steps

1.4488 (1 0^{8})^{- 0.023}

Apply exponent rule:

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

(1 0^{8})^{- 0.023} = 1 0^{8 (- 0.023)}

= 1.4488 \cdot 1 0^{8 (- 0.023)}

8 (- 0.023) = - 0.184

= 1.4488 \cdot 1 0^{- 0.184}

Apply exponent rule:

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

1 0^{- 0.184} = \frac{1}{1 0 ^{0.184}}

= 1.4488 \cdot \frac{1}{1 0 ^{0.184}}

1.4488 \cdot \frac{1}{1 0 ^{0.184}} = \frac{1.4488}{1 0 ^{0.184}}

= \frac{1.4488}{1 0 ^{0.184}}

\frac{1.4488}{1 0 ^{0.184}} = \frac{14488}{10000 \cdot 1 0 ^{0.184}}

= \frac{14488}{10000 \cdot 1 0 ^{0.184}}

Factor the number:

14488 = 8 \cdot 1811

= \frac{8 \cdot 1811}{10000 \cdot 1 0 ^{0.184}}

Factor the number:

10000 = 8 \cdot 1250

= \frac{8 \cdot 1811}{8 \cdot 1250 \cdot 1 0 ^{0.184}}

Cancel the common factor:

8

= \frac{1811}{1250 \cdot 1 0 ^{0.184}}

- 3 x^{2} (8 x)

3100 \cdot π \cdot (1.5)^{2} \cdot 1.5 \cdot (\frac{1}{12})

yyy \frac{d}{d x} (x^{c o s (x)})

8000 \cdot e^{- 0.2 (2)}

1 0^{- l o g_{10} (3)}

What is 1.4488(10^8)^{-0.023} ?
The solution to 1.4488(10^8)^{-0.023} is (1811)/(1250*10^{0.184)}