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Solve for x

X cubed =27/64

Solve for x X cubed =27/64-example-1
User Neoakris
by
8.0k points

1 Answer

7 votes


$x=(3)/(4)

Solution:

Given expression is
x^3=(27)/(64).

To solve the expression and find the value of x.


$\Rightarrow x^3=(27)/(64)

27 can be written as 3 × 3 × 3 =
3^3

64 can be written as 4 × 4 × 4 =
4^3


$\Rightarrow x^3=(3^3)/(4^3)

Taking cube root on both sides of the function.


$\Rightarrow\sqrt[3]{x^3}=\sqrt[3]{(3^3)/(4^3)}

Cube and cube roots are cancelled.


$\Rightarrow x=(3)/(4)

Therefore,
x=(3)/(4).

User Arjs
by
8.6k points

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