Properties of exponents

Can you please explain to me how to solve this problem (2xsquared)3rd power

do you mean (2x^2)^3?
if so then heres your answer:
you just distribute the ^3 into 2 and into x^2
which will make 2^3 times x^6 (you multiply the exponents here)
which gives you a final answer of (2^3)(x^6)

Thanks for the answers guys they were all good but i looked at seans first

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This expression (2x^2)^3 explains one property of exponents: power of a power. An exponent raised to the power of another exponent, and in this case, you should multiply the two exponents. Ex: (x^2)^2= x^2(2)=x^4

In your problem, don't forget to use the distributive property of multiplication. Distribute the exponent outside the parenthesis to each term inside the parenthesis.

(2x^2)^3
(2^3)(x)^(2)(3)
8x^6

That is the final answer. Hope it helped.

(2^2)^3
start with the inside of the parentheses:
2^2=4
(4)^3= 64
or you can multiply exponents if they apply to the same base:
2^(2x3)
2^(6)
64

what do u mean by 3rd power ? is it (1/3)

then (2xsquared)3rd = 2^(2/3)

(2x^2)^3 = (2 * x * x)^3 = (2*x*x)*(2*x*x)*(2*x*x) = 8*x^6