en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (4)^{-2}ln(4)

Solution

simplify

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

Solution

\frac{1}{8} ln (2)

+1

Decimal Notation

0.08664 \dots

Solution steps

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

Apply exponent rule:

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

= \frac{1}{4 ^{2}} ln (4)

4^{2} = 16

= \frac{1}{16} ln (4)

Simplify

ln (4) : 2 ln (2)

= 2 \cdot \frac{1}{16} ln (2)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2}{16} ln (2)

\frac{1 \cdot 2}{16} = \frac{1}{8}

= \frac{1}{8} ln (2)

Popular Examples

simplify sqrt(5^{-3)}simplify

5^{- 3}

simplify (3X+1)^2(-3X+1)^2 simplify

(3 X + 1)^{2} (- 3 X + 1)^{2}

simplify sqrt(x-4)^2 simplify

x - 4^{2}

simplify sqrt(3-x)^2 simplify

3 - x^{2}

simplify 2.97*10^{-7}simplify

2.97 \cdot 1 0^{- 7}

Frequently Asked Questions (FAQ)

What is (4)^{-2}ln(4) ?
The solution to (4)^{-2}ln(4) is 1/8 ln(2)