anyone knows how to simplify this equation?

Question

0

752

1

5 √ 32x⁵z^{10 (is not a check mark, but a square root)}

possibles are

2z⁵

2xz⁵

2z²

2xz²

Guest Oct 11, 2014

+23254

+5

Best Answer

[ (32·x^5·z^10) ]^(1/5) = [ (2^5·x^5·z^10) ]^(1/5)

Since it's a power to a power, multiply the exponents together:

[ 2 ^ ( 5 · 1/5) ] · [ x ^ ( 5 · 1/5) ] · [ z ^ (10 · 1/5) ]

= 2^1 · x^1 · z^2

= 2xz²

geno3141 Oct 11, 2014

geno3141 · Answer 1 · 2014-10-11T06:36:27

[ (32·x^5·z^10) ]^(1/5) = [ (2^5·x^5·z^10) ]^(1/5)

Since it's a power to a power, multiply the exponents together:

[ 2 ^ ( 5 · 1/5) ] · [ x ^ ( 5 · 1/5) ] · [ z ^ (10 · 1/5) ]

= 2^1 · x^1 · z^2

= 2xz²