Question

Express the following as a power with base 2: (a) (4)-³ (b) (8)-5 (c) (4)​

Answer 1

Answer:

(a) 2⁻⁶

(b) 2⁻¹⁵

(c) 2²

Step-by-step explanation:

We know that 4 = 2² and 8 = 2³

We also know that, (aᵇ)ⁿ = a⁽ ᵇ ˣ ⁿ ⁾

Hence,

(a) 4⁻³ = (2²)⁻³ = 2⁽² ˣ ⁻³⁾ = 2⁻⁶

(b) 8⁻⁵ = (2³)⁻⁵ = 2⁽³ˣ ⁻⁵⁾ = 2⁻¹⁵

(c) 4 = 2²

Hope it helps

Please mark as brainliest