KSEEB Solutions for Class 8 Maths Chapter 10 Exponents Ex 10.3

Students can Download Class 8 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 to clear all their doubts, score well in final exams.

Karnataka State Syllabus Class 8 Maths Chapter 10 Exponents Ex 10.3

Question 1.
Simplify:
(i) 10^-1 x 10² x 10^-3 x 10⁴ x 10^–⁵ x 10⁶
(ii) $\frac{2^{3} \times 3^{2} \times 5^{4}}{3^{3} \times 5^{2} \times 2^{4}}$
Answer:
(i) 10^-1 x 10² x 10^-3 x 10⁴ x 10^–⁵ x 10⁶

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

Question 2.
Which is larger (3⁴ × 2³) or (2⁵ × 3²)
Answer:
3⁴ × 2³ = 81 × 8 = 648
2⁵ × 3² = 32 × 9 = 288
648 > 288
3⁴ × 2³> 2⁵ × 3²

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:
$\frac{3^{m} \times 2^{n}}{2^{m} \times 3^{n}} = \frac{3^{m-n}}{2^{m-n}}$
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.