simplify e^{4ln|x|}

Solution

simplify

e^{4 l n ∣ x ∣}

x^{4}

Solution steps

e^{4 l n ∣ x ∣}

Apply exponent rule:

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

= (e^{l n ∣ x ∣})^{4}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n ∣ x ∣} = ∣ x ∣

= ∣ x ∣^{4}

Apply absolute rule:

∣ x ∣^{4} = x^{4}

, assuming

x \in R

∣ x ∣^{4} = x^{4}

= x^{4}

i^{4} + i^{9} + i^{16}

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

\frac{108}{36}

\frac{- 2 m ^{2} n ^{6}}{- 3 m n ^{6}}

3 x^{2} + 5 [4 x^{2} - 6 (3 x + 1)]