4th Root

Algebra Level 1

1 6 36 x 4 4 = ? \Large \sqrt[4]{16^{36x^4}} = ?

1 6 9 x 4 \large16^{9x^{4}} 4 9 x \large 4^{9x} 8 9 x 4 \large 8^{9x^{4}} 4 6 x \large 4^{6x}

Nazmus Sakib by Nazmus sakib , 24, Bangladesh

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2 solutions

Jason Apostol
Nov 27, 2017

1 6 36 x 4 4 = ( 1 6 36 x 4 ) 1 4 = 1 6 1 4 ∗ 36 x 4 = 1 6 9 x 4 \sqrt[4]{16^{36x^4}} = (16^{36x^4})^{\frac{1}{4}} = 16^{\frac{1}{4} * 36x^4} = \boxed{16^{9x^4}}

13 Helpful 0 Interesting 0 Brilliant 0 Confused
Saksham Jain
Nov 28, 2017

1 6 36 x 4 4 = ( 1 6 36 x 4 ) 1 4 = 1 6 1 4 ∗ 36 x 4 = 1 6 9 x 4 \huge\sqrt[4]{16^{36x^4}} = (16^{36x^4})^{\frac{1}{4}} = 16^{\frac{1}{4} * 36x^4} = \boxed{16^{9x^4}}

7 Helpful 0 Interesting 0 Brilliant 0 Confused

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