Is it a joke?

Algebra Level 3

x x is a non-negative real number.Then:

( x x ) ( x x ) ( x x ) . . . \huge ({x^x})^{({x^x})^{({x^x})^{.^{.^{.}}}}}

Can also be written as:

A ) x x x x . . . A) \huge x^{x^{x^{x^{.^{.^{.}}}}}} .

B ) x x × x x × x x × x . . B) \huge x^{x \times x ^ { x \times x ^{x \times x ^{.^{.}}}}}

C ) x x × x × x × x … C) \huge x^{x \times x \times x \times x \dots}

D ) x x x × x x x × x . . . D) \huge x^{x^{x \times x^{x^{x \times x^{.^{.^{.}}}}}}}

This question is part of the set All-Zebra

C B D A

Abhay Tiwari by Abhay Tiwari , 28, India

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2 solutions

Ashish Menon
May 4, 2016

Great question,
In thid question we have to apply the formla:-
( x y ) z = x y z {\left(x^y\right)}^{z} = x^{yz}
So, the given questuon would generalize to option B because we multiply the one exponent with another expinent and not the whole base.

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thanks for the solution, Ashish. ⌣ ¨ \ddot\smile

Abhay Tiwari - 5 years, 1 month ago

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My pleasure.

Ashish Menon - 5 years, 1 month ago
Sayandeep Ghosh
May 4, 2016

Same as you proceeded... @AshishSiva

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