simplify the equations.

8t^5 x 8t^5

well,

8*8 = 64
t^5 * t^5 = t^10
so, ...

and it's not an equation (no = sign) -- it's just an expression

x^a * x^b =x^(a+b)

64 t^5t^5
= 64 t^(5+5)
= 64 t^10

To simplify the expression 8t^5 x 8t^5, you can use the property of exponents that states when you multiply two terms with the same base, you add their exponents.

Using this property, we can simplify the expression as follows:

8t^5 x 8t^5 = (8 x 8) x (t^5 x t^5) = 64 x t^(5+5)

Now, we add the exponents of t together, which gives us:

64 x t^10

Therefore, the simplified form of the expression 8t^5 x 8t^5 is 64t^10.