∜16 * ∜32 = please multiply and simplify.

thanks for any help!
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Multiply them. You get the 4th root of 512, which breaks down to 4 times the 4th toor of 2.

I hope this information was very helpful.

(16)^(1/4) = 2 and
(32)^(1/4) = 2 * 2^(1/4)
=> (16)^(1/4) * (32)^(1/4)
= 2 * 2 * 2^(1/4)
= 4 * 2^(1/4).

(2^4)^1/4*(2^5)^1/4

2^4/4*2^5/4

2*2^5/4

2^1+5/4

2^4+5/4

2^9/4

16^(1/4) = 2
2*32^(1/4)
32^(1/4) = 16^(1/4) * 2^(1/4) = 2*2^(1/4)
4*2^(1/4)

∜16 * ∜32 =

∜2^4 * ∜2^5 =

∜2^9 = 2^2 * ∜2 = 4∜2