Question

What is the value of the following expression?

(1/4)³​

Answer 1

`\small \: \sf \: ( 1 )/(64) \: \\`

Explanation:

`\small \: \sf \: \frac{ 1 {}^(3) }{4 {}^(3) } \: \\`

Write the exponentiation as multiplication.

`\small \: \sf \: ( 1 * 1 * 1 )/(4 * 3 * 3 ) \: \\`

Multiply, we get .

`\small \: \sf \: ( 1 )/(64) \: \\`

Answer 2

1/64

Explanation:

Note that 1³ = 1 and that 4³ = 64.

1³ 1

Thus, (1/4)³ = ------------ = -------

4³ 64