Question

If x² = 64, then 1/3 + x⁰​

Answer 1

4/3 or 1 1/3

Explanation:

Finding x

• x² = 64
• x = ±8

Substitute in the equation

• 1/3 + (±8)⁰
• 1/3 + 1
• 4/3 or 1 1/3

Answer 2

`\huge\boxed{\bf\:(4)/(3) }`

Explanation:

If,
`x^(2) = 64`, then,

`x^(2) = 64\\x = √(64)\\x = (+/-)8`

Now, remember that any number when folllowed by exponent 0 will always have its value as 1.

Then,

`(1)/(3) + x^(0) \\ =(1)/(3) + (+/-8)^(0) \\= (1)/(3) + 1\\=(1)/(3) +(3)/(3) \:\:\:\: (LCM = 3)\\ \boxed{\bf\:(4)/(3) }`

`\rule{150pt}{2pt}`