Simplify (y^8\cdoty^8)^5/(y^4\cdoty^4)^3
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.
To simplify the expression, let's first simplify the numerator and denominator separately.
In the numerator, we have (y^8 * y^8)^5. To simplify this, we multiply the exponents:
y^(8*5) = y^40.
In the denominator, we have (y^4 * y^4)^3. Similarly, we multiply the exponents:
y^(4*3) = y^12.
Now, we can rewrite the expression as:
(y^8 * y^8)^5 / (y^4 * y^4)^3 = y^40 / y^12.
To simplify further, we can subtract the exponents:
y^(40 - 12) = y^28.
Therefore, the simplified expression is y^28.