Question

Express 8^-4 as a power with the base 2

Answer 1

Given,

The number of having the base 8 and exponent -4.

To find,

Express 8⁻⁴ as a power with the base 2.

Solution,

8⁻⁴ can be expressed as a power with base 2 as (2)⁻¹².

We can express 8⁻⁴ as a power with base 2 by using laws of exponents.

8⁻⁴ = (2*2*2)⁻⁴

     = (2³)⁻⁴

    = (2)³ˣ⁽⁻⁴⁾   [ (aᵇ)ⁿ = (a)ᵇⁿ]

    = (2)⁻¹²

Hence, 8⁻⁴ can be expressed as a power with base 2 as (2)⁻¹².

Answer 2

Answer:

2^12

Step-by-step explanation:

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