What is 1.488(10^7)^{-0.023} ?

The solution to 1.488(10^7)^{-0.023} is (186)/(125*10^{0.161)}

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simplify 1.488(10^7)^{-0.023}

simplify

1.488 (1 0^{7})^{- 0.023}

\frac{186}{125 \cdot 1 0 ^{0.161}}

Decimal Notation

1.02707 \dots

Solution steps

1.488 (1 0^{7})^{- 0.023}

Apply exponent rule:

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

(1 0^{7})^{- 0.023} = 1 0^{7 (- 0.023)}

= 1.488 \cdot 1 0^{7 (- 0.023)}

7 (- 0.023) = - 0.161

= 1.488 \cdot 1 0^{- 0.161}

Apply exponent rule:

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

1 0^{- 0.161} = \frac{1}{1 0 ^{0.161}}

= 1.488 \cdot \frac{1}{1 0 ^{0.161}}

1.488 \cdot \frac{1}{1 0 ^{0.161}} = \frac{1.488}{1 0 ^{0.161}}

= \frac{1.488}{1 0 ^{0.161}}

\frac{1.488}{1 0 ^{0.161}} = \frac{1488}{1000 \cdot 1 0 ^{0.161}}

= \frac{1488}{1000 \cdot 1 0 ^{0.161}}

Factor the number:

1488 = 8 \cdot 186

= \frac{8 \cdot 186}{1000 \cdot 1 0 ^{0.161}}

Factor the number:

1000 = 8 \cdot 125

= \frac{8 \cdot 186}{8 \cdot 125 \cdot 1 0 ^{0.161}}

Cancel the common factor:

8

= \frac{186}{125 \cdot 1 0 ^{0.161}}

2.77 \cdot 1 0^{- 5}

e^{- (\frac{t}{5})^{2}}

(1.602 \cdot 1 0^{- 19}) (468)

- 9.11 x 1 0^{9} x (1 - 0.9999)

5 x^{2} (6 x^{3})

What is 1.488(10^7)^{-0.023} ?
The solution to 1.488(10^7)^{-0.023} is (186)/(125*10^{0.161)}