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Jobisdone [24]
3 years ago
10

Help with evaluate and graph PLEASE HURRY

Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer:

Box 1 = -1

Box 2 = 8

Box 3 = 14

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What is the value of n in this equation: 2↑2 * 2↑n = (2↑4)↑3
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Answer:

The value of n in the given equation is; n = 10

Step-by-step explanation:

Exponent for a natural power b is defined as iterated multiplication, which Knuth denoted by a single up-arrow:

a↑b = a^b          ......[1]

Given the expression: 2↑2 * 2↑n = (2↑4)↑3

Using [1] in the given expression is;

(2^2) \cdot 2^n = (2^4)^3

Using a^n \cdot a^m = a^{n+m}  and (a^n)^m = a^{nm}

we have;

2^{2+n} = 2^{12}

2 + n = 12                     [ Using a^m = a^n ⇒ m =n ]

Subtract 2 to both sides of an equation:

2 + n - 2 = 12 -2

Simplify:

n = 10

Therefore, the value of n is, 10

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