What is 16pix^{1/2}(1+(16)/x)^{1/2} ?

The solution to 16pix^{1/2}(1+(16)/x)^{1/2} is 16pi(x+16)^{1/2}

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simplify 16pix^{1/2}(1+(16)/x)^{1/2}

simplify

16 π x^{\frac{1}{2}} (1 + \frac{16}{x})^{\frac{1}{2}}

16 π (x + 16)^{\frac{1}{2}}

Solution steps

16 π x^{\frac{1}{2}} (1 + \frac{16}{x})^{\frac{1}{2}}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{\frac{1}{2}} (\frac{16}{x} + 1)^{\frac{1}{2}} = (x (\frac{16}{x} + 1))^{\frac{1}{2}}

= 16 π (x (\frac{16}{x} + 1))^{\frac{1}{2}}

Simplify

x (1 + \frac{16}{x}) : x + 16

= 16 π (x + 16)^{\frac{1}{2}}

\frac{e ^{\frac{x}{0.026}}}{e ^{\frac{x}{0.026}}}

1 0^{- 3} \cdot 1.2

(1 0^{- 180})^{\frac{5}{2}}

0.5 \cdot e^{- 1 \cdot 0.5 \cdot 5}

- 2.18 \cdot 1 0^{- 18} (\frac{1}{1} - \frac{1}{9})

What is 16pix^{1/2}(1+(16)/x)^{1/2} ?
The solution to 16pix^{1/2}(1+(16)/x)^{1/2} is 16pi(x+16)^{1/2}