Question

What is the value of the exponential expression below? 64 raised to 1/2

Answer 1

so this exponent of 1/2 mean square-root of 64 what equal

64^(1/2) = (8^2)^(1/2) = 8^((1/2)*2) = 8^(2/2) = 8

hope helped

Answer 2

8

Explanation:

We are asked to find the value of the given exponential expression
`64^{(1)/(2)`.

Using exponent property
`a^{(m)/(n)}=\sqrt[n]{a^m}`, we can write our given expression as:

`64^{(1)/(2)=\sqrt[2]{64^1}`

`64^{(1)/(2)=\sqrt[2]{64}`

We can rewrite
`64\text{ as }8^2`.

`64^{(1)/(2)=\sqrt[2]{8^2}`

Using exponent property
`\sqrt[n]{a^n}=a`, we can write our given expression as:

`64^{(1)/(2)}=8`

Therefore, the value of our given exponential expression is 8.