Question

Solve the radical exponents and show your work!

please help me​

Answer 1

x = 126

Explanation:

Using the rule of exponents/ radicals

`a^{(m)/(n) }` =
`\sqrt[n]{a^(m) }`

Given

`(x-1)^{(2)/(3) }` - 25 = 0 ( add 25 to both sides )

`(x-1)^{(2)/(3) }` = 25 ( raise each side to the power of 3 )

(x - 1)² = 25³ = 15625 ( take the square root of both sides )

x - 1 =
`√(15625)` = 125 ( add 1 to both sides )

x = 126

Answer 2

126, -124

Explanation:

The steps

• (x-1)²/³ - 25 = 0
• (x-1)²/³ = 25
• (x-1)² = 25³
• (x-1)² = (5³)²
• x- 1 = ± 125
• x = 1 ± 125
• x₁ = 126
• x₂ = - 124