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

- a)8
^{120} - b)8
^{30 } - c)2
^{32 } - d)2
^{30 } - e)2
^{26}

Correct answer is 'C'. Can you explain this answer?

Related Test: Problem Solving Practice Quiz - 1

41 Answers

Rangam Kumarranga
answered
3 weeks ago

2^30(1+1+1+1)=2^30(2^2)

=2^32

hence the option for that question is c

=2^32

hence the option for that question is c

Deepa Choudhary
answered
Aug 17, 2020

Yes the correct option is C i.e 2^32 as 2^30+2^30+2^30+2^30=2^30×(1+1+1+1)=2^30×4

2^30×2^2= (2)^30+2=2^32..

Hope u understand it....

2^30×2^2= (2)^30+2=2^32..

Hope u understand it....

Sandeep Kumar
answered
Jul 02, 2020

4×(2^30)=2^2×2^30

= 2^32

* In multiplication if base are equal we can add powers

* In division if base are equal we can subtract the powers

example:

3^5/3^3 = 3^(5-3)= 3^2

= 2^32

* In multiplication if base are equal we can add powers

* In division if base are equal we can subtract the powers

example:

3^5/3^3 = 3^(5-3)= 3^2

Kumar Adit
answered
2 weeks ago

Answer is 'B' because if base or exponent are same then add base and make exponent common for whole so answer would be 8 to the power 30.

Rachit Jaiswal
answered
3 weeks ago

2^30 + 2^30 + 2^30 + 2^30

2^30(1+1) + 2^30(1+1)

2^30(2^1) + 2^30(2^1)

2^32

2^30(1+1) + 2^30(1+1)

2^30(2^1) + 2^30(2^1)

2^32

Swapna Bathini
answered
Jul 30, 2020

4(2^30)=(2^2)(2^30)=2^2+30=2^32

when the bases are equal,we can add the powers(exponents)

when the bases are equal,we can add the powers(exponents)

Prity Kumari
answered
Jul 08, 2020

2^30+2^30+2^30+2^30

2^30(1+1+1+1)

2^30×4

2^30×2^2 since, (a^m+a^n=a^m+n)

2^30+2

2^32 ans.

2^30(1+1+1+1)

2^30×4

2^30×2^2 since, (a^m+a^n=a^m+n)

2^30+2

2^32 ans.

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