What is (7x-3)(0.5x^{-1.5}) ?

The solution to (7x-3)(0.5x^{-1.5}) is (0.5(7x-3))/(x^{1.5)}

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simplify (7x-3)(0.5x^{-1.5})

simplify

(7 x - 3) (0.5 x^{- 1.5})

\frac{0.5 ( 7 x - 3 )}{x ^{1.5}}

Solution steps

(7 x - 3) (0.5 x^{- 1.5})

Apply exponent rule:

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

= 0.5 \cdot \frac{1}{x ^{1.5}} (7 x - 3)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 0.5 \cdot \frac{1 \cdot ( 7 x - 3 )}{x ^{1.5}}

1 \cdot (7 x - 3) = 7 x - 3

= 0.5 \cdot \frac{7 x - 3}{x ^{1.5}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 7 x - 3 ) \cdot 0.5}{x ^{1.5}}

1 0^{- 500}

2 (c e^{- 2 x})

(e^{3})^{x - 1}

\frac{x - 5}{x + 5}

(t - 1) e^{- a}

What is (7x-3)(0.5x^{-1.5}) ?
The solution to (7x-3)(0.5x^{-1.5}) is (0.5(7x-3))/(x^{1.5)}