What is sqrt((1/27)^{5-x)} ?

The solution to sqrt((1/27)^{5-x)} is 1/((3sqrt(3))^{-x+5)}

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simplify sqrt((1/27)^{5-x)}

simplify

(\frac{1}{27})^{5 - x}

\frac{1}{( 3 3 ) ^{- x + 5}}

Solution steps

(\frac{1}{27})^{5 - x}

Apply radical rule:

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

= ((\frac{1}{27})^{5 - x})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (\frac{1}{27})^{(5 - x) \frac{1}{2}}

Simplify

(5 - x) \frac{1}{2} : \frac{5 - x}{2}

= (\frac{1}{27})^{\frac{5 - x}{2}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{1 ^{\frac{5 - x}{2}}}{2 7 ^{\frac{5 - x}{2}}}

2 7^{\frac{- x + 5}{2}} = (33)^{- x + 5}

= \frac{1 ^{\frac{- x + 5}{2}}}{( 3 3 ) ^{- x + 5}}

Apply rule

1^{a} = 1

1^{\frac{- x + 5}{2}} = 1

= \frac{1}{( 3 3 ) ^{5 - x}}

(C h^{3}) 2 CO

- 6 \cdot - 96

4 x^{2} (2 x - 3)^{2}

P^{1} (9.5) P^{2} (- 4.7)

What is sqrt((1/27)^{5-x)} ?
The solution to sqrt((1/27)^{5-x)} is 1/((3sqrt(3))^{-x+5)}