Divide square root of 1/54

Math
154
Rewrite 154 as 154.
154
Any root of 1 is 1.
154
Simplify the denominator.
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Rewrite 54 as 32⋅6.
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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
Combine and simplify the denominator.
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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.
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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.
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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

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