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

Question

asked Apr 20, 2021 196k views

1 Answer

Jinhong · Answer 1 · 2021-04-25T07:27:36+0000

Answer:

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