What is (10^3)^{-3}*(10^{-3}*0.5^{-2}) ?

The solution to (10^3)^{-3}*(10^{-3}*0.5^{-2}) is 1/250000000000

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simplify (10^3)^{-3}(10^{-3}0.5^{-2})

simplify

(1 0^{3})^{- 3} \cdot (1 0^{- 3} \cdot 0. 5^{- 2})

\frac{1}{250000000000}

Decimal Notation

4.0 E - 12

Solution steps

(1 0^{3})^{- 3} (1 0^{- 3} \cdot 0. 5^{- 2})

(1 0^{3})^{- 3} = \frac{1}{1000000000}

= \frac{1}{1000000000} \cdot 1 0^{- 3} \cdot 0. 5^{- 2}

1 0^{- 3} = \frac{1}{1000}

= \frac{1}{1000000000} \cdot \frac{1}{1000} \cdot 0. 5^{- 2}

Apply exponent rule:

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

0. 5^{- 2} = \frac{1}{0. 5 ^{2}}

= \frac{1}{1000000000} \cdot \frac{1}{1000} \cdot \frac{1}{0. 5 ^{2}}

0. 5^{2} = 0.25

= \frac{1}{1000000000} \cdot \frac{1}{1000} \cdot \frac{1}{0.25}

Divide the numbers:

\frac{1}{0.25} = 4

= \frac{1}{1000000000} \cdot \frac{1}{1000} \cdot 4

\frac{1}{1000000000} \cdot \frac{1}{1000} \cdot 4 = \frac{1}{250000000000}

= \frac{1}{250000000000}

(sec^{2} (x))^{- \frac{3}{2}}

\frac{0. 6 ^{10}}{10 !} \cdot e^{- 0.6}

(1 + x^{2} \cdot 2 x)^{2}

x^{2} \cdot (x - 2)^{2}

\frac{1}{2 π} e^{- \frac{0. 7 ^{2}}{2}}

What is (10^3)^{-3}*(10^{-3}*0.5^{-2}) ?
The solution to (10^3)^{-3}*(10^{-3}*0.5^{-2}) is 1/250000000000