2³0} + 2³0} + 2³0} + 2³0} = ?

Correct Answer is : 2322³2}232

Correct Answer is : 2322³2}232

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CGPSC Prelims CSAT 2024 Solved Paper 2

Question : 4 of 100

Marks: +1, -0

2^{30} + 2^{30} + 2^{30} + 2^{30} = ?

Solution:

Concept:

Adding identical powers means combining the number of terms using exponent laws.

Explanation:

The expression is

2^{30}+2^{30}+2^{30}+2^{30}

There are four equal terms.

So it becomes

4 \times 2^{30}

Write

4

2^2

Then

4 \times 2^{30}=2^2 \times 2^{30}

Using

a^m \times a^n=a^{m+n}

, we get

2^{2+30}=2^{32}

Answer:

2^{32}

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