What is x(n(n-1)x^{n-2}) ?

The solution to x(n(n-1)x^{n-2}) is nx^{n-1}(n-1)

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simplify x(n(n-1)x^{n-2})

simplify

x (n (n - 1) x^{n - 2})

n x^{n - 1} (n - 1)

Solution steps

x (n (n - 1) x^{n - 2})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{n - 2} = x^{1 + n - 2}

= n (n - 1) x^{1 + n - 2}

Subtract the numbers:

1 - 2 = - 1

= n (n - 1) x^{n - 1}

e^{- \frac{t x}{x}}

e^{- I n^{7}}

- 4 (e^{- y})^{3} e^{- y}

a (x - b)^{2} (x - c)^{2}