Answer:
The value of x is 3
Step-by-step explanation:
Given:
[tex]x^3 = 27[/tex]
To Find:
x = ?
Solution:
We Know that
[tex]a = (a^3)^\frac{1}{3}[/tex]
[tex]a = (a)^\frac{3}{3}[/tex]
We can write 27 as [tex]3 \times 3 \times 3[/tex] = [tex]3^3[/tex]
Taking cube root on both sides
[tex](x^3)^{\frac{1}{3} }= (3^3)^{\frac{1}{3}}[/tex]
[tex]x^{\frac{3}{3}} = 3^{\frac{3}{3}}[/tex]
[tex]x^1 = 3^1[/tex]
x = 3
