simplify (4^{-2})^3

Solution

simplify

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

\frac{1}{4096}

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 4^{- 2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 4^{- 6}

Apply exponent rule:

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

4^{- 6} = \frac{1}{4 ^{6}}

= \frac{1}{4 ^{6}}

4^{6} = 4096

= \frac{1}{4096}

x^{3} - 4 x^{2} - 20 x + 48

- 1010 - 310

\frac{2}{11}

(a^{3} b^{5} c^{- 4})^{2}

(\frac{1}{3})^{2} + (\frac{1}{3})^{2} + (\frac{2}{3})^{2}