Question

Which expression is equivalent to

Answer 1

Answer:

the expression is equivalent to x^2/3

Step-by-step explanation:

[x^4/3 x^2/3]^1/3

=[x^4/3+(2/3)]^1/3

by using laws of exponent

a^m  a^n=a^m+n

=[x^4/3+2/3]^1/3

=[x^6/3]^1/3

={x^2]^1/3

by using law of exponent

(a^m)^n=a^mn

=x^2×1/3

=x^2/3

i hope this will help you :)

Answer 2

Answer:

x^2/3

option B is the right option

solution,

$( {x}^{ \frac{4}{3} } . {x}^{ \frac{2}{3} }) ^{ \frac{1}{3} } \\ = ({x ^{ \frac{4}{3} + \frac{2}{3} } )}^{ \frac{1}{3} } \\ = ({x}^{ \frac{4 + 2}{3} } ) ^{ \frac{1}{3} } \\ = ( {x}^{ \frac{6}{3} } ) ^{ \frac{1}{3} } \\ = {x}^{ \frac{6 \times 1}{3 \times 3} } \\ = {x}^{ \frac{6}{9} } \\ divide \: 6 \: and \: 9 \: by \: 3 \\ = {x}^{ \frac{2}{3} }$

hope this helps...

Good luck on your assignment...