Students can Download Maths Chapter 10 Exponents Ex 10.6 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 8 Maths helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations.

## Karnataka Board Class 8 Maths Chapter 10 Exponents Ex 10.6

Question 1.

Simplify

(i). \(\left(\frac{2}{3}\right)^{8} \times\left(\frac{6}{4}\right)^{3}\)

(ii). (1.8)^{6} × (4.2)^{-3}

(iii). \(\frac{(0.0006)^{3}}{(0.015)^{-4}}\)

Answer:

Question 2.

Can it happen that for some integer m ≠ 0 \(\left(\frac{4}{25}\right)^{m}\) = \(\left(\frac{2}{5}\right)^{\mathrm{m}^{2}}\) ?

Answer:

∴ m^{2} = 2m

m.m=2m

m=2

It can happen if m=2

Question 3.

Find all positive integers m, n such that (3^{m})^{n} = 3^{m} × 3^{n}

Answer:

(3^{m})^{n} = 3^{m} × 3^{n}

3^{mn} = 3^{m+n}

mn = m + n

2 × 2 = 2 + 2

∴ m = 2, n = 2

(m, n) = (2, 2)