simplify (w^7)^{-2}

Solution

simplify

(w^{7})^{- 2}

\frac{1}{w ^{14}}

Solution steps

(w^{7})^{- 2}

Apply exponent rule:

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

assuming

a \geq 0

= w^{7 (- 2)}

7 (- 2) = - 14

= w^{- 14}

Apply exponent rule:

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

w^{- 14} = \frac{1}{w ^{14}}

= \frac{1}{w ^{14}}

2 x (4 y + x)

(6 x - 4 x)^{2}

a^{2} + \frac{1}{a ^{2}} - 2 - 3 a + \frac{3}{a}

12 \cdot \frac{( a ^{2} )}{( b ^{2} )} + \frac{a}{b} - 20

(\frac{3}{2 y - 1})^{3}