What root of x does the expression (x^3/8) ^2/3 yield?

square root

cube root

fourth root

eighth root

Question

Mathematics

Emilio Ritter

29 April, 15:25

What root of x does the expression (x^3/8) ^2/3 yield?

square root

cube root

fourth root

eighth root

+1

Answers (1)

Know the Answer?

Ezekiel Fuller · Answer 1

The rule for exponents of exponents is:

a^b^c=a^ (b*c), in this case:

x^ (3/8) ^ (2/3)

x^ ((3/8) * (2/3))

x^ (6/24)

x^ (1/4)

So x^ (1/4) is equal to the fourth root.

What root of x does the expression (x^3/8) ^2/3 yield?square rootcube rootfourth rooteighth root

What root of x does the expression (x^3/8) ^2/3 yield?

square root

cube root

fourth root

eighth root