Question

Please help. Factor the expression completely. Begin by factoring out the lowest power of each common factor.
x^5/2 − 64x^1/2

Answer 1

\[x^{1/2} ( x^2 - 64)\]

Answer 2

because:
\[x^{a}\times x^{b} = x^{a+b}\]

Answer 3

then from there it becomes
\[x^{1/2}(x-8)(x+8)\]by difference of two squares

Answer 4

make sense?

Answer 5

yes thank u

Answer 6

You can also look at it like this:\[x^{1/2}(x^{4/2} − 64)\]if it makes it clearer