Question
etermine whether each of the following expressions is equivalent to x83
(4 points)
Yes No
((x−−√3)4)2
Yes – open paren open paren cube root of x close paren to the 4th power close paren squared
No – open paren open paren cube root of x close paren to the 4th power close paren squared
(x√3)0(x2√3)−4
Yes – the fraction with numerator open paren cube root of x close paren to the 0 power and denominator open paren cube root of x squared close paren to the negative 4 power
No – the fraction with numerator open paren cube root of x close paren to the 0 power and denominator open paren cube root of x squared close paren to the negative 4 power
x3−−√8
Yes – 8th root of x cubed
No – 8th root of x cubed
x4 −−−√3⋅ x4
(4 points)
Yes No
((x−−√3)4)2
Yes – open paren open paren cube root of x close paren to the 4th power close paren squared
No – open paren open paren cube root of x close paren to the 4th power close paren squared
(x√3)0(x2√3)−4
Yes – the fraction with numerator open paren cube root of x close paren to the 0 power and denominator open paren cube root of x squared close paren to the negative 4 power
No – the fraction with numerator open paren cube root of x close paren to the 0 power and denominator open paren cube root of x squared close paren to the negative 4 power
x3−−√8
Yes – 8th root of x cubed
No – 8th root of x cubed
x4 −−−√3⋅ x4
Answers
GPT 3.5
Yes – x to the 4th power times cube root of x to the 4th power
No – x to the 4th power times cube root of x to the 4th power
No – x to the 4th power times cube root of x to the 4th power