What is (10(10^3)^{-1})^{-2} ?

The solution to (10(10^3)^{-1})^{-2} is 10000

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simplify (10(10^3)^{-1})^{-2}

simplify

(10 (1 0^{3})^{- 1})^{- 2}

10000

Solution steps

(10 (1 0^{3})^{- 1})^{- 2}

Apply exponent rule:

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

= \frac{1}{( 10 ( 1 0 ^{3} ) ^{- 1} ) ^{2}}

(10 (1 0^{3})^{- 1})^{2} = \frac{1}{10 0 ^{2}}

= \frac{1}{\frac{1}{10 0 ^{2}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{10 0 ^{2}}{1}

Apply rule

\frac{a}{1} = a

= 10 0^{2}

10 0^{2} = 10000

= 10000

e^{- 2 l n ∣ x ∣}

6.47 \cdot 1 0^{- 4}

6^{- 1} 0. 6^{5}

5.43102 E 14 \cdot 6.63 \cdot 1 0^{- 34}