Question

the value of a to the power 2 by 3 divide 2 square to the power 1 by 2 is​

Answer 1

Answer:

=4

2

1

The cube (or "third") root is the one-third power:

\large{\sqrt[{\scriptstyle 3}]{8} = 8^{\frac{1}{3}} = 2}

3

8

=8

3

1

=2

The fourth root is the one-fourth power:

\large{\sqrt[{\scriptstyle 4}]{81} = 81^{\frac{1}{4}} = 3}

4

81

=81

4

1

=3

The fifth root is the one-fifth power; and so on.

Looking at the first examples above, we can re-write them like this:

\large{\sqrt[{\scriptstyle 3}]{2^3} = (2^3)^{\frac{1}{3}} = 2^{\frac{3}{1} \cdot \frac{1}{3}} = 2^1 = 2}

3

2

3

=(2

3

)

3

1

=2

1

3

⋅

3

1

=2

1

=2

\large{\sqrt[{\scriptstyle 4}]{3^4} = (3^4)^{\frac{1}{4}} = 3^{\frac{4}{1} \cdot \frac{1}{4}} = 3^1 = 3}

4

3

4

=(3

4

)

4

1

=3

1

4

⋅

4

1

=3

1

=3