Free Practice Question

PS · Problem Solving

605-655

Exponents/Powers

If $n = 10^10$ and $n^n = 10^d$ , what is the value of $d$ ?

Answer Choices

Correct answer marked below

A

10^3

B

10^10

10^11

Correct

D

10^20

E

10^100

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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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If n=1010n = 10^10n=1010 and nn=10dn^n = 10^dnn=10d, what is the value of ddd?