Question

Calcule:
a)√3^6=
b)512^1/3=
c)4^√2^8
d)√(5/6)²
ME AJUDEM RAPIDO

Answer 1

.
$a) \sqrt{3^6} =3^3=27 \\ \\ b)512^{ \frac{1}{3} }= \sqrt[3]{512} = \sqrt[3]{2^9} =2^3=8 \\ \\ c) 4^{ \sqrt{2^8} } = 4^{2^4} =2^{2^.2^4}=2^5=32 \\ \\ d) \sqrt{( \frac{5}{6})^2 } = \frac{5}{6}$

Answer 2

a
(V3 )⁶  = V3² * V3² * V3²  = 3 * 3 * 3 = 27
b
( 512)¹/³  = ( 2⁹)¹/³ = ( 2 )⁹/³  = 2³  = 8 ****
c
(⁴V2 )⁸  = ( ⁴V2)⁴ * ( ⁴V2)⁴ = 2 * 2 = 4 ***
d
V(5/6)² =  5/6 ****