What is simplify-11(x^{-3})^2 ?

The solution to simplify-11(x^{-3})^2 is -(11)/(x^6)

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simplify-11(x^{-3})^2

simplify

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

- \frac{11}{x ^{6}}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

(x^{- 3})^{2} = x^{- 3 \cdot 2}

= - 11 x^{- 3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= - 11 x^{- 6}

Apply exponent rule:

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

x^{- 6} = \frac{1}{x ^{6}}

= - 11 \cdot \frac{1}{x ^{6}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{11 \cdot 1}{x ^{6}}

Multiply the numbers:

11 \cdot 1 = 11

= - \frac{11}{x ^{6}}

(\frac{1}{x}) (\frac{1}{x})

(0.12)^{2}

(\frac{1}{4}) 2

\frac{1}{16} \div 2

- \frac{7}{12} + (- \frac{9}{16})

What is simplify-11(x^{-3})^2 ?
The solution to simplify-11(x^{-3})^2 is -(11)/(x^6)