What is 1/2 (1.2*10^{-6})(1.2*10^3)^2 ?

The solution to 1/2 (1.2*10^{-6})(1.2*10^3)^2 is 108/125

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simplify 1/2 (1.210^{-6})(1.210^3)^2

simplify

\frac{1}{2} (1.2 \cdot 1 0^{- 6}) (1.2 \cdot 1 0^{3})^{2}

\frac{108}{125}

Decimal Notation

0.864

Solution steps

\frac{1}{2} (1.2 \cdot 1 0^{- 6}) (1.2 \cdot 1 0^{3})^{2}

Simplify

1.2 \cdot 1 0^{- 6} : 0.0000012

= \frac{1}{2} \cdot 0.0000012 (1.2 \cdot 1 0^{3})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(1.2 \cdot 1 0^{3})^{2} = 1. 2^{2} (1 0^{3})^{2}

= \frac{1}{2} \cdot 0.0000012 \cdot 1. 2^{2} (1 0^{3})^{2}

1. 2^{2} = 1.44

= \frac{1}{2} \cdot 0.0000012 \cdot 1.44 (1 0^{3})^{2}

Apply exponent rule:

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

(1 0^{3})^{2} = 1 0^{3 \cdot 2}

= \frac{1}{2} \cdot 0.0000012 \cdot 1.44 \cdot 1 0^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{1}{2} \cdot 0.0000012 \cdot 1.44 \cdot 1 0^{6}

1 0^{6} = 1000000

= \frac{1}{2} \cdot 0.0000012 \cdot 1.44 \cdot 1000000

Multiply the numbers:

1.44 \cdot 1000000 = 1440000

= \frac{1}{2} \cdot 0.0000012 \cdot 1440000

Multiply the numbers:

0.0000012 \cdot 1440000 = 1.728

= \frac{1}{2} \cdot 1.728

1.728 = \frac{216}{125}

= \frac{1}{2} \cdot \frac{216}{125}

\frac{1}{2} \cdot \frac{216}{125} = \frac{108}{125}

= \frac{108}{125}

(ln (x))^{- 3} d x

0.32 \cdot 15000 \cdot (1 + \frac{4 \cdot 15000}{10000})^{- 0.5}

\frac{3}{7 z}

((\frac{a}{b})^{2})^{5} (\frac{a ^{3} b ^{2}}{c ^{3}})^{3^{^{'}}}

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

What is 1/2 (1.2*10^{-6})(1.2*10^3)^2 ?
The solution to 1/2 (1.2*10^{-6})(1.2*10^3)^2 is 108/125