How do you solve (8x ^5) ^2

  64x^10

Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

___

Using the first rule, we have ...

  (8x^5)^2 = (8^2)((x^5)^2) = 64(x^5)^2

Using the second rule, we have ...

  =64x^(5·2) = 64x^10

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d