Solve x^2(x^2 3)^-8 - (x^2 3)^-7

Evaluate

x^{2} (x^{2} \times 3)^{- 8} - (x^{2} \times 3)^{- 7}

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

x^{2} (x^{2} \times 3)^{- 8} - (x^{2} \times 3)^{- 7} = 0

Find the domain

More Steps

x^{2} (x^{2} \times 3)^{- 8} - (x^{2} \times 3)^{- 7} = 0, x \neq = 0

Calculate

x^{2} (x^{2} \times 3)^{- 8} - (x^{2} \times 3)^{- 7} = 0

Use the commutative property to reorder the terms

x^{2} (3 x^{2})^{- 8} - (x^{2} \times 3)^{- 7} = 0

Use the commutative property to reorder the terms

x^{2} (3 x^{2})^{- 8} - (3 x^{2})^{- 7} = 0

Multiply the terms

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\frac{1}{6561 x ^{14}} - (3 x^{2})^{- 7} = 0

Subtract the terms

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- \frac{2}{6561 x ^{14}} = 0

Rewrite the expression

\frac{- 2}{6561 x ^{14}} = 0

Cross multiply

- 2 = 6561 x^{14} \times 0

Simplify the equation

- 2 = 0

Solution

x \in \emptyset

Simplify the expression