154

Rewrite 154 as 154.

154

Any root of 1 is 1.

154

Rewrite 54 as 32⋅6.

Factor 9 out of 54.

19(6)

Rewrite 9 as 32.

132⋅6

132⋅6

Pull terms out from under the radical.

136

136

Multiply 136 by 66.

136⋅66

Multiply 136 and 66.

6366

Move 6.

63(66)

Raise 6 to the power of 1.

63(616)

Raise 6 to the power of 1.

63(6161)

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

6361+1

Add 1 and 1.

6362

Rewrite 62 as 6.

Use axn=axn to rewrite 6 as 612.

63(612)2

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

63⋅612⋅2

Combine 12 and 2.

63⋅622

Cancel the common factor of 2.

Cancel the common factor.

63⋅622

Divide 1 by 1.

63⋅61

63⋅61

Evaluate the exponent.

63⋅6

63⋅6

63⋅6

Multiply 3 by 6.

618

The result can be shown in multiple forms.

Exact Form:

618

Decimal Form:

0.13608276…

Divide square root of 1/54