The expression (2x2)3 is equivalent to _____.
Note- The "2" after the variable is an exponent and the "3" outside of the parentheses is also an exponent.

Question

The expression (2x2)3 is equivalent to _____. 
   Note- The "2" after the variable is an exponent and the "3" outside of the parentheses is also an exponent.

hartnn · Answer

so, 
$(2x^2)^3$
right ??

first use, 
$(mn)^a = m^an^a$
so what about $(2x^2)^3$ ? 
treat m as 2 and n as x^2

anonymous · Answer

$$6^{2}  or  6^{5}  or 8^{6}$$

hartnn · Answer

ohh,, there is no x there! right ?

anonymous · Answer

Yes there is. I accidentally forgot to put the x's in the choices :/

hartnn · Answer

lets first see the constant part , since you have choices

the exponent will get distributed to the 2 and x^2 term both
so, whats 2^3 =.. ?

anonymous · Answer

$$6x ^{2}$$ or  $$6x ^{5}$$ or$$8x ^{6}$$

hartnn · Answer

whats 2^3 = ...

hartnn · Answer

:O

2^3 = 2*2*2 = ...

not 6

anonymous · Answer

Lol my bad. It's 8

hartnn · Answer

yeah
and just to make sure
$(a^b)^c=a^{bc}$
so, $(x^2)^3 = x^6$
so its 8x^6