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Popular >

simplify 3^{1/2-1}

Solution

simplify

3^{\frac{1}{2} - 1}

Solution

\frac{1}{3}

+1

Decimal Notation

0.57735 \dots

Solution steps

3^{\frac{1}{2} - 1}

\frac{1}{2} - 1 = - \frac{1}{2}

= 3^{- \frac{1}{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- \frac{1}{2}} = \frac{1}{3 ^{\frac{1}{2}}}

= \frac{1}{3 ^{\frac{1}{2}}}

Apply exponent rule:

a^{\frac{1}{2}} = a

3^{\frac{1}{2}} = 3

= \frac{1}{3}

Popular Examples

simplify (2/3)^{-1}simplify

(\frac{2}{3})^{- 1}

3/(u^{5/2)v^{1/2}}

\frac{3}{u ^{\frac{5}{2}} v ^{\frac{1}{2}}}

3+12(3p+2)=9(p-3)

3 + 12 (3 p + 2) = 9 (p - 3)

simplify-e^{-7}-1/7 simplify

- e^{- 7} - \frac{1}{7}

simplify 25^{(-3)/2}simplify

2 5^{\frac{- 3}{2}}

Frequently Asked Questions (FAQ)

What is 3^{1/2-1} ?
The solution to 3^{1/2-1} is 1/(sqrt(3))