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Popular >

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

Solution

simplify

2^{2^{2}} ln (2) (2^{2} ln (2))

Solution

64 ln^{2} (2)

+1

Decimal Notation

30.74899 \dots

Solution steps

2^{2^{2}} ln (2) (2^{2} ln (2))

Apply exponent rule:

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

2^{2^{2}} \cdot 2^{2} = 2^{2^{2} + 2}

= ln (2) \cdot 2^{2^{2} + 2} ln (2)

Apply exponent rule:

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

ln (2) ln (2) = ln^{1 + 1} (2)

= 2^{2^{2} + 2} ln^{1 + 1} (2)

Add the numbers:

1 + 1 = 2

= 2^{2^{2} + 2} ln^{2} (2)

2^{2^{2} + 2} = 2^{6}

= 2^{6} ln^{2} (2)

2^{6} = 64

= 64 ln^{2} (2)

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Frequently Asked Questions (FAQ)

What is 2^{2^2}ln(2)(2^2ln(2)) ?
The solution to 2^{2^2}ln(2)(2^2ln(2)) is 64ln^2(2)