Question

Write exponential form for 8 × 8 × 8 × 8 taking base as 2.

Answer 1

8 × 8 × 8 × 8 = 8⁴
8 = 2 × 2 × 2 = 2³
Therefore, 8⁴

= (2³)⁴

= 2³ × 2³ × 2³ × 2³

= 2^{3 × 4}.........[ (a^m)ⁿ = a^mn]

= 2¹²