simplify x^{-5}x^3

Solution

simplify

x^{- 5} x^{3}

\frac{1}{x ^{2}}

Solution steps

x^{- 5} x^{3}

Apply exponent rule:

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

x^{- 5} x^{3} = x^{- 5 + 3}

= x^{- 5 + 3}

Add/Subtract the numbers:

- 5 + 3 = - 2

= x^{- 2}

Apply exponent rule:

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

x^{- 2} = \frac{1}{x ^{2}}

= \frac{1}{x ^{2}}

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

8 n - 4 mn + 4 n - 3 mn + 5 m

5 (2 x + 1)

(2 x^{4} y)^{4} (- 3 x^{4} y^{3})

\frac{x}{x + 1} + \frac{2 x - 3}{x - 1}