Students can Download Maths Chapter 10 Exponents Ex 10.3 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 10.3

Question 1.

Simplify:

(i) 10^{-1} x 10^{2} x 10^{-3} x 10^{4} x 10^{–}^{5} x 10^{6}

(ii) \(\frac{2^{3} \times 3^{2} \times 5^{4}}{3^{3} \times 5^{2} \times 2^{4}}\)

Answer:

(i) 10^{-1} x 10^{2} x 10^{-3} x 10^{4} x 10^{–}^{5} x 10^{6}

(ii) \(\frac{2^{3} \times 3^{2} \times 5^{4}}{3^{3} \times 5^{2} \times 2^{4}}\)

Question 2.

Which is larger (3^{4} × 2^{3}) or (2^{5} × 3^{2})

Answer:

3^{4} × 2^{3} = 81 × 8 = 648

2^{5} × 3^{2} = 32 × 9 = 288

648 > 288

3^{4} × 2^{3 }> 2^{5} × 3^{2}

Question 3.

Suppose ‘m’ and ‘n’ are distinct integers \(\frac{3^{m} \times 2^{n}}{2^{m} \times 3^{n}}\) can be an integer? Give reasons.

Answer:

If ‘m’ and ‘n’ are two distinct integers.

Then 3^{(}^{m-n)} is always on an odd number and 2^{(}^{m-n)} is always an even number.

If an odd number is divided, by an even number the quotient is not an integer.

Therefore it is’ not an integer.

Question 4.

Suppose b is a positive integer such that is also an integer. What are the possible values of b.

Answer:

If b > 4 the denominator e×ceeds the numerator and we get a fraction.

∴ The possible values of b are 1, 2, and 4.