Free Practice Question

PS · Problem Solving

555-605

Exponents/Powers

What is the units digit of $28 + 29^2 + 30^3 + 31^4 + 32^5 + 33^6$ ?

Answer Choices

Correct answer marked below

A

0

1

Correct

C

3

D

7

E

9

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Explanation

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Official Explanation

Official

To solve this, we need to find the last digit of

8 + 9^2 + 0^3 + 1^4 + 2^5 + 3^6

.…

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2

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I

ImadOct 10, 2024

thank you very much!

P

ParveenJan 12, 2025

thanks

What this question tests

What it tests

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

Common trap

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

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What is the units digit of 28+292+303+314+325+33628 + 29^2 + 30^3 + 31^4 + 32^5 + 33^628+292+303+314+325+336 ?