What is 2sqrt(x)*x^{-1/2} ?

The solution to 2sqrt(x)*x^{-1/2} is 2

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simplify 2sqrt(x)*x^{-1/2}

simplify

2 x \cdot x^{- \frac{1}{2}}

2

Solution steps

2 x x^{- \frac{1}{2}}

Apply radical rule:

a = a^{\frac{1}{2}}

x = x^{\frac{1}{2}}

= 2 x^{\frac{1}{2}} x^{- \frac{1}{2}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{1}{2}} x^{- \frac{1}{2}} = x^{\frac{1}{2} - \frac{1}{2}}

= 2 x^{\frac{1}{2} - \frac{1}{2}}

Add similar elements:

\frac{1}{2} - \frac{1}{2} = 0

= 2 x^{0}

Apply exponent rule:

a^{0} = 1,

assuming

a \neq = 0

x^{0} = 1

= 2 \cdot 1

Multiply the numbers:

2 \cdot 1 = 2

= 2

e^{- \frac{1}{0.01}}

- 23 \cdot 2

8.4 \cdot 1 0^{- 5}

1.724 \times 1 0^{- 8} \times 2.125

e^{- 8} \cdot \frac{8 ^{6}}{6 !}