![4\left(625^4\right)\left(y^6\right)](/tex.php?f=4\left(625^4\right)\left(y^6\right))
step-by-step explanation:
given expression is
.
now we need to simplify the given expression
.
we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.
![4\sqrt{625^8y^{12}}](/tex.php?f=4\sqrt{625^8y^{12}})
![=4\left(625^8y^{12}\right)^{\frac{1}{2}}](/tex.php?f==4\left(625^8y^{12}\right)^{\frac{1}{2}})
![=4\left(625^8\right)^{\frac{1}{2}}\left(y^{12}\right)^{\frac{1}{2}}](/tex.php?f==4\left(625^8\right)^{\frac{1}{2}}\left(y^{12}\right)^{\frac{1}{2}})
![=4\left(625^4\right)\left(y^6\right)](/tex.php?f==4\left(625^4\right)\left(y^6\right))
expanding that will give a very very large number so let's keep answer in exponent form.