NCERT Solutions Class 8 Maths Chapter 2 — Exponents & Powers

Solution:

Step 1: Using the law $a^m \times a^n = a^{m+n}$:

Step 2: $2^3 \times 2^4 = 2^{3+4}$ [= 2^7]

Solution:

Step 1: By definition, any non-zero number raised to the power 0 is 1.

Step 2: $a^0 = 1$ for all $a \neq 0$ [5^0 = 1]

Solution:

Step 1: Using the law $(a^m)^n = a^{mn}$:

Step 2: $(3^2)^3 = 3^{2 \times 3}$ [= 3^6]

Solution:

Step 1: By definition, $a^{-n} = \frac{1}{a^n}$:

Step 2: $2^{-3} = \frac{1}{2^3}$ [= \frac{1}{8}]

Solution:

Step 1: Using the law $\frac{a^m}{a^n} = a^{m-n}$:

Step 2: $\frac{7^5}{7^3} = 7^{5-3}$ [= 7^2]