Solve 8x⋅(9x-8)^( (-5)/8 ) 2(9x-8)^( 3/8 ) - ScanMath

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Question

Simplify the expression

\frac{16 x 4 ( 9 x - 8 ) ^{3}}{9 x - 8}

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Find the roots

x \in \emptyset

Evaluate

8 x (9 x - 8)^{\frac{- 5}{8}} \times 2 (9 x - 8)^{\frac{3}{8}}

To find the roots of the expression,set the expression equal to 0

8 x (9 x - 8)^{\frac{- 5}{8}} \times 2 (9 x - 8)^{\frac{3}{8}} = 0

Find the domain

More Steps

8 x (9 x - 8)^{\frac{- 5}{8}} \times 2 (9 x - 8)^{\frac{3}{8}} = 0, x > \frac{8}{9}

Calculate

8 x (9 x - 8)^{\frac{- 5}{8}} \times 2 (9 x - 8)^{\frac{3}{8}} = 0

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

8 x (9 x - 8)^{- \frac{5}{8}} \times 2 (9 x - 8)^{\frac{3}{8}} = 0

Multiply

More Steps

16 x (9 x - 8)^{- \frac{1}{4}} = 0

Rewrite the expression

\frac{16 x}{( 9 x - 8 ) ^{\frac{1}{4}}} = 0

Cross multiply

16 x = (9 x - 8)^{\frac{1}{4}} \times 0

Simplify the equation

16 x = 0

Rewrite the expression

x = 0

Check if the solution is in the defined range

x = 0, x > \frac{8}{9}

Solution

x \in \emptyset

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