###### Advertisements

###### Advertisements

Simplify:

`root(3)(27/125)`

###### Advertisements

#### Solution

`root(3)(27/125)`

= `root(3)((3 xx 3 xx 3)/(5 xx 5 xx 5))`

= `root(3)((3^3)/(5^3))`

= `root(3)((3/5)^3)` `[a^m/b^m = (a/b)^m]`

= `3/5`

#### APPEARS IN

#### RELATED QUESTIONS

There is no perfect cube which ends with 8.

Evaluate the following:

Find the cube of \[\frac{7}{9}\] .

Find the cube of \[- \frac{8}{11}\] .

Find the cube of 0.3 .

Find the cube of 1.5 .

Find which of the following number is cube of rational number \[\frac{27}{64}\] .

Find the cube root of the following rational number 0.003375 .

Complete the following table.

Sr. No. | Number | Power of the root | Root of the power |

(1) | (225)^{3/2} |
Cube of square root of 225 | Square root of cube of 225 |

(2) | (45)^{4/5} |
||

(3) | (81)^{6/7} |
||

(4) | (100)^{4/10} |
||

(5) | (21)^{3/7} |

Simplify:

`root(3)(16/54)`

Find the cube root of the following number.

8000

Find the cube root of the following number.

343

Find the cube root of the following number.

-2744

Find the cube root of the following number.

32768

Find the cube of:31

Find the cube of: 42

Find the cube of: 54

Find the cube of 1.6.

Find the cube of: 0.12

Find the cube of: 0.02

Find the cube of: 0.8

Find the cube of: `3/7`

Find the cube of: `2 1/2`

Find the cube of: -7

Find the cube of 17.

Find the cube of (-6).

Find the cube of `(-2/5)`.

Find the cube of (1.2).

The cube of an odd number is always an ______ number.

`{(6^2 + (8^2)^(1/2))}^3`