What is ((mw)/(pih))^{1/2}*((pih)/(mw))^{1/2} ?

The solution to ((mw)/(pih))^{1/2}*((pih)/(mw))^{1/2} is 1

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simplify ((mw)/(pih))^{1/2}*((pih)/(mw))^{1/2}

simplify

(\frac{m w}{πh})^{\frac{1}{2}} \cdot (\frac{πh}{m w})^{\frac{1}{2}}

1

Solution steps

(\frac{m w}{πh})^{\frac{1}{2}} (\frac{πh}{m w})^{\frac{1}{2}}

Apply exponent rule:

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

(\frac{m w}{πh})^{\frac{1}{2}} (\frac{πh}{m w})^{\frac{1}{2}} = (\frac{m w}{πh} \cdot \frac{πh}{m w})^{\frac{1}{2}}

= (\frac{m w}{πh} \cdot \frac{πh}{m w})^{\frac{1}{2}}

\frac{m w}{πh} \cdot \frac{πh}{m w} = 1

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

Apply rule

1^{a} = 1

= 1

43.09 \cdot 1 0^{- 6} (51)

6 a^{\circ} 2 ab

(2) (2 t)

e^{- 12 (7.5)}

800.5 x (2 x 1 0^{6})

What is ((mw)/(pih))^{1/2}*((pih)/(mw))^{1/2} ?
The solution to ((mw)/(pih))^{1/2}*((pih)/(mw))^{1/2} is 1