# Simplify: (0.001)^(1/3) - Mathematics

Simplify:

(0.001)^(1/3)

#### Solution

Given (0.001)^(1/3)

(0.001)^(1/3)=((0.001xx1000)/(1xx1000))^(1/3)

=(1/1000)^(1/3)

=((1xx1xx1)/(10xx10xx10))^(1/3)

=(1^3/10^3)^(1/3)

=(1^(3xx1/3)/10^(3xx1/3))

=1/10

Hence the value of (0.001)^(1/3) is 1/10

Concept: Laws of Exponents for Real Numbers
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.2 | Q 2.4 | Page 24