What is ((36p)^{-0.5})/(36)p^{-1.5} ?

The solution to ((36p)^{-0.5})/(36)p^{-1.5} is 1/(216p^2)

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simplify ((36p)^{-0.5})/(36)p^{-1.5}

simplify

\frac{( 36 p ) ^{- 0.5}}{36} p^{- 1.5}

\frac{1}{216 p ^{2}}

Solution steps

\frac{( 36 p ) ^{- 0.5}}{36} p^{- 1.5}

Apply exponent rule:

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

p^{- 1.5} = \frac{1}{p ^{1.5}}

= \frac{( 36 p ) ^{- 0.5}}{36} \cdot \frac{1}{p ^{1.5}}

Simplify

\frac{( 36 p ) ^{- 0.5}}{36} : \frac{1}{6 p ^{\frac{1}{2}} \cdot 36}

= \frac{1}{6 p ^{\frac{1}{2}} \cdot 36} \cdot \frac{1}{p ^{1.5}}

Apply the fraction rule:

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

= \frac{1 \cdot 1}{6 p ^{\frac{1}{2}} \cdot 36 p ^{1.5}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{6 p ^{\frac{1}{2}} \cdot 36 p ^{1.5}}

Simplify

6 p^{\frac{1}{2}} \cdot 36 p^{1.5} : 216 p^{2}

= \frac{1}{216 p ^{2}}

\frac{1}{4} \cdot 0. 5^{2} + 0. 5^{2} + 0. 5^{2} + 0. 5^{2}

- e^{- x} (x sin (y) - y cos (y))

2 \cdot 3.14 \cdot (6.67 \cdot 1 0^{- 6}) \cdot 50 (2.67 - 1.17)

- 1.244 e^{- 1}

What is ((36p)^{-0.5})/(36)p^{-1.5} ?
The solution to ((36p)^{-0.5})/(36)p^{-1.5} is 1/(216p^2)