Question

Se x= √2 então o valor de x⁸(x⁶(x₄-2)) é?

Answer 1

x⁸[x⁶(x^4-2)]

$\sqrt{2} ^{8} [ \sqrt{2} ^{6} ( \sqrt{2} ^{4} -2]$

$2^\frac{8}{2}[ 2^\frac{6}{2}( 2^\frac{4}{2} - 2]$

$2^{4} [ 2^{3} ( 2^{2} -2)]$

$2^{4} [ 2^{3} ( 4-2)]$

$2^{4} [ 2^{3} .2]$

$2^{4} [ 2^{4} ]$

$2^{8} = 256$