Maharashtra Board 8th Class Maths Practice Set 3.2 Solutions Chapter 3 Indices and Cube Root

Balbharti Maharashtra State Board Class 8 Maths Solutions covers the Practice Set 3.2 8th Std Maths Answers Solutions Chapter 3 Indices and Cube Root.

Practice Set 3.2 8th Std Maths Answers Chapter 3 Indices and Cube Root

Question 1.
Complete the following table.

S.No.	Number	Power of the root	Root of the power
1.	\((225)^{\frac{3}{2}}\)	Cube of square root of 225	Square root of cube of 225
2.	\((45)^{\frac{4}{5}}\)
3.	\((81)^{\frac{6}{7}}\)
4.	\((100)^{\frac{4}{10}}\)
5.	\((21)^{\frac{3}{7}}\)

Solution:

S.No.	Number	Power of the root	Root of the power
1.	\((225)^{\frac{3}{2}}\)	Cube of square root of 225	Square root of cube of 225
2.	\((45)^{\frac{4}{5}}\)	4th power of 5th root of 45	5th root of 4th power of 45
3.	\((81)^{\frac{6}{7}}\)	6th power of 7th root of 81	7th root of 6th power of 81
4.	\((100)^{\frac{4}{10}}\)	4th power of 10th root of 100	10th root of 4th power of 100
5.	\((21)^{\frac{3}{7}}\)	Cube of 7th root of 21	7th root of cube of 21

Question 2.
Write the following numbers in the form of rational indices.
i. Square root of 5th power of 121.
ii. Cube of 4th root of 324.
iii. 5th root of square of 264.
iv. Cube of cube root of 3.
Solution:
i. \((121)^{\frac{5}{2}}\)
ii. \((324)^{\frac{3}{4}}\)
iii. \((264)^{\frac{2}{5}}\)
iv. \((3)^{\frac{3}{3}}\)