197k views
3 votes
Find the value of (8x^6)^2/3​

1 Answer

0 votes

Answer: 4x^4

Explanation:

from the law of indices,

( a^x)^y = a^xy

Now from the question

( 8x^6)^2/3

8^2/3X^6x2/3

From another law of indices,

a^x/y = ( y cube root of a)^x

8^2/3 = 2^2 = 4 ——— 1

Now X^6*2/3

= X^4 ——————-2
Now combine 1 & 2 together gives the answer

= 4x^4

User Jclay
by
5.6k points