Which is greater, $2^{30}$ or $3^{20}$ ?

2^{30}

Correct answerYour answerThey are equalCorrect answerYour answerIt cannot be decided without a calculatorCorrect answerYour answer

3^{20}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Write both as tenth powers: $2^{30} = (2^{3})^{10} = 8^{10}$ and $3^{20} = (3^{2})^{10} = 9^{10}$ .
$9 > 8$ , so $3^{20} > 2^{30}$ .

Worth noting

A bigger power, 30, does not win on its own; bring both to the same power first.

Ten questions from Numerical Inequalities, at your own pace.

Ten questions from Numerical Inequalities, at your own pace.

Which is greater, 2302^{30}230 or 3203^{20}320?