Answer:
Step-by-step explanation:
To solve indices problems you need to know the laws of indices.
The laws will guide you in answering any problem related to indices, these laws are for a ≠ 0
law 1
aᵇ * aⁿ = aᵇ⁺ⁿ
example 5³ * 5⁵ = 5³⁺⁵= 5⁸
law 2
aᵇ / aⁿ = aᵇ⁻ⁿ
example 7⁵/ 7³ = 7⁵⁻³ = 7²
law 3
(aᵇ)ⁿ = aᵇⁿ
example (5³)⁴ = 5³ * 5⁴ = 5¹²
law 4
a⁰ = 1
example 8⁰ = 1
law 5
a⁻ⁿ = 1/aⁿ
example 7⁻² = 1/7² = 1/49
law 6
a^¹/ₙ = ⁿ√a
example 27^¹/₃ = ∛27 = 3
law 7
a^ᵇ/ₙ = (ⁿ√a)ᵇ = ⁿ√aᵇ
example 8^²/₃ = (∛8)² = (2)² = 4
