Exponent Question?

[Flower9]

The pattern (x2)^5=x^10 is true for...

1)x=2 only
2) x=-1 only
3) x=1 and x=0 only
4) all real numbers

I feel that 2 is correct because I added the 1 and the 0 in the place of the x but I am not sure because it seems they both would equal themselves? Iam I going in the right direction here?
Thank Q!

 

[Mrspi]

The pattern (x2)^5=x^10 is true for...

1)x=2 only
2) x=-1 only
3) x=1 and x=0 only
4) all real numbers

I feel that 2 is correct because I added the 1 and the 0 in the place of the x but I am not sure because it seems they both would equal themselves? Iam I going in the right direction here?
Thank Q!

Is this your problem?

(x<SUP>2</SUP>)<SUP>5</SUP> = x<SUP>10</SUP>

If it is, then remember this rule of exponents (the Power of a Power Property, some books call it):

(a<SUP>m</SUP>)<SUP>n</SUP> = a<SUP>m*n</SUP>

Apply this property to (x<SUP>2</SUP>)<SUP>5</SUP>

Compare the result to x<SUP>10</SUP>

When are the two equal?