166

Factor 2 out of 16.

2(8)6

Cancel the common factors.

Factor 2 out of 6.

2⋅82⋅3

Cancel the common factor.

2⋅82⋅3

Rewrite the expression.

83

83

83

Rewrite 83 as 83.

83

Rewrite 8 as 22⋅2.

Factor 4 out of 8.

4(2)3

Rewrite 4 as 22.

22⋅23

22⋅23

Pull terms out from under the radical.

223

223

Multiply 223 by 33.

223⋅33

Multiply 223 and 33.

22333

Raise 3 to the power of 1.

223313

Raise 3 to the power of 1.

2233131

Use the power rule aman=am+n to combine exponents.

22331+1

Add 1 and 1.

22332

Rewrite 32 as 3.

Use axn=axn to rewrite 3 as 312.

223(312)2

Apply the power rule and multiply exponents, (am)n=amn.

223312⋅2

Combine 12 and 2.

223322

Cancel the common factor of 2.

Cancel the common factor.

223322

Divide 1 by 1.

22331

22331

Evaluate the exponent.

2233

2233

2233

Combine using the product rule for radicals.

23⋅23

Multiply 3 by 2.

263

263

The result can be shown in multiple forms.

Exact Form:

263

Decimal Form:

1.63299316…

Simplify square root of 16/6