Simplify (y^8\cdoty^8)^5/(y^4\cdoty^4)^3

Answer 1

To simplify the expression, we can apply the exponent properties.

First, we can simplify the numerator:

(y^8 * y^8)^5 = y^(8*5) * y^(8*5) = y^40 * y^40 = y^80

Next, we can simplify the denominator:

(y^4 * y^4)^3 = y^(4*3) * y^(4*3) = y^12 * y^12 = y^24

Now, we can divide the numerator by the denominator:

(y^80)/(y^24) = y^(80-24) = y^56

Therefore, the simplified expression is y^56.