4318

Rewrite 18 as 32⋅2.

Factor 9 out of 18.

439(2)

Rewrite 9 as 32.

4332⋅2

4332⋅2

Pull terms out from under the radical.

43⋅32

Multiply 3 by 3.

492

492

Multiply 492 by 22.

492⋅22

Multiply 492 and 22.

42922

Move 2.

429(22)

Raise 2 to the power of 1.

429(212)

Raise 2 to the power of 1.

429(2121)

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

42921+1

Add 1 and 1.

42922

Rewrite 22 as 2.

Use axn=axn to rewrite 2 as 212.

429(212)2

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

429⋅212⋅2

Combine 12 and 2.

429⋅222

Cancel the common factor of 2.

Cancel the common factor.

429⋅222

Divide 1 by 1.

429⋅21

429⋅21

Evaluate the exponent.

429⋅2

429⋅2

429⋅2

Factor 2 out of 42.

2(22)9⋅2

Cancel the common factors.

Factor 2 out of 9⋅2.

2(22)2⋅9

Cancel the common factor.

2(22)2⋅9

Rewrite the expression.

229

229

229

The result can be shown in multiple forms.

Exact Form:

229

Decimal Form:

0.31426968…

Simplify 4/(3 square root of 18)