Question

Which expression is equivalent to (x^1/4y^16)^1/2 ?

Answer 1

x^1/8y^8

Step-by-step explanation:

Answer 2

expression is equivalent to  $(x^{\frac{1}{4}} y^{16})^{\frac{1}{2}}$

We apply exponential property

Multiply the outside exponent 1/2 with exponents inside the parenthesis

$(x^{\frac{1}{4}} y^{16})^{\frac{1}{2}}$

$(x^{\frac{1}{4}*\frac{1}{2}} y^{16*\frac{1}{2}})$

1/4 times 1/2 is 1/8  

16 times 1/2 is 8

so expression becomes

$(x^{\frac{1}{8}} y^{8})$

So the answer is

$(x^{\frac{1}{8}} y^{8})$