Question

What is the cube root of 64 over 343? The 64 over 343 is a fraction. What is it rounded to the nearest tenth?

Answer 1

0.6

Explanation:

Given problem:

`\sqrt[3]{(64)/(343) }`

if an expression is of this form, we simplify

`\sqrt[3]{x}` =
`x^{(1)/(3) }`

`\sqrt[3]{(64)/(343) }` =
`\frac{64^{(1)/(3) } }{343(1)/(3) }`

=
`\frac{4^{3x ^{(1)/(3) } } }{7 ^{3 ^x{(1)/(3) } } }`

=
`(4)/(7)`

= 0.57 to the nearest tenth

= 0.6