Question

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Answer 1

Answer:

4096

Step-by-step explanation:

=>2 raise to the power 5 = 32

=>and 32*2 = 64

=> 64 square = 4096

Answer 2

Solution :-

We need to find :-

(2⁵ × 2)²

Simplifying the given question using the identity

(aⁿ × a)² = a²ⁿ+²

Similarly

→ 2¹⁰+²

→ 2¹²

→ 4096

Hence , (2⁵ × 2)² = 4096.

★ #LearnMore :-

Derivation of the formula (aⁿ × a)²

Firstly taking the base (aⁿ × a)

Simplifying using a^m × a^n = a^(m + n)

Similarly

→ aⁿ+¹

And it has a square (²)

→ (aⁿ + ¹)²

Now , simplifying using identity (aⁿ)^m

→ a^{2(n + 1)}

→ a²ⁿ + ¹

Hence , proved !