What is (6/5)^{5(-1/2)} ?

The solution to (6/5)^{5(-1/2)} is (25sqrt(5))/(36sqrt(6))

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simplify (6/5)^{5(-1/2)}

simplify

(\frac{6}{5})^{5 (- \frac{1}{2})}

\frac{25 5}{36 6}

Decimal Notation

0.63393 \dots

Solution steps

(\frac{6}{5})^{5 (- \frac{1}{2})}

Apply rule:

a (- b) = - ab

5 (- \frac{1}{2}) = - 5 \cdot \frac{1}{2}

= (\frac{6}{5})^{- 5 \cdot \frac{1}{2}}

Apply exponent rule:

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

(\frac{6}{5})^{- 5 \cdot \frac{1}{2}} = \frac{1}{( \frac{6}{5} ) ^{5 \cdot \frac{1}{2}}}

= \frac{1}{( \frac{6}{5} ) ^{5 \cdot \frac{1}{2}}}

(\frac{6}{5})^{5 \cdot \frac{1}{2}} = \frac{36 6}{25 5}

= \frac{1}{\frac{36 6}{25 5}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{25 5}{36 6}

f (2) + g (2)

u^{6} - 1

∣ 2 x - 1 ∣ - 5 = - 2

22 = 4 + 6 e

What is (6/5)^{5(-1/2)} ?
The solution to (6/5)^{5(-1/2)} is (25sqrt(5))/(36sqrt(6))