Calculate the sum of $4^{35} + 4^{36} + 4^{37} =$

Correct answer marked below

7(4^{35})

21(4^{35})

Correct

4(4^{36})

5(4^{36})

7(4^{36})

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Preview

Official Explanation

Official

4^{35} + 4^{36} + 4^{37} =

[m]=4^{35}(1…

Comments

GuluSep 19, 2024

Thank for sharing!!!

K61Nov 6, 2024

thank you taking time to upload it!

MahnoorAug 10

thanks, factoring out the smallest power made this way easier than it looked at first

GouriAug 21

yep, once you pull out 4^35 the rest is basically just adding small numbers

AviralMay 11

kind of a giveaway once you notice all three terms share 4^35, probably a 505 level for sure

What this question tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).