What is ((sqrt(32x-5)-1)/((sqrt(3x-5))))^5 ?

The solution to ((sqrt(32x-5)-1)/((sqrt(3x-5))))^5 is ((sqrt(32x-5)-1)^5)/(sqrt((3x-5)^5))

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simplify ((sqrt(32x-5)-1)/((sqrt(3x-5))))^5

simplify

(\frac{32 x - 5 - 1}{( 3 x - 5 )})^{5}

\frac{( 32 x - 5 - 1 ) ^{5}}{( 3 x - 5 ) ^{5}}

Solution steps

(\frac{32 x - 5 - 1}{3 x - 5})^{5}

Apply exponent rule:

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

= \frac{( 32 x - 5 - 1 ) ^{5}}{( 3 x - 5 ) ^{5}}

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

= \frac{( 32 x - 5 - 1 ) ^{5}}{( 3 x - 5 ) ^{\frac{5}{2}}}

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

= \frac{( 32 x - 5 - 1 ) ^{5}}{( 3 x - 5 ) ^{5}}

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What is ((sqrt(32x-5)-1)/((sqrt(3x-5))))^5 ?
The solution to ((sqrt(32x-5)-1)/((sqrt(3x-5))))^5 is ((sqrt(32x-5)-1)^5)/(sqrt((3x-5)^5))