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

Question

asked Jan 11, 2019 195k views

2 Answers

Maryann · Answer 1 · 2019-01-15T12:04:10+0000

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

We apply exponential property

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

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

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

1/4 times 1/2 is 1/8

16 times 1/2 is 8

so expression becomes

$(x^{(1)/(8)} y^(8))$

So the answer is

$(x^{(1)/(8)} y^(8))$