Which of these is the largest?

2^{30}

Correct answerYour answer

5^{10}

Correct answerYour answer

3^{20}

Correct answerYour answer

6^{10}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Write each as a tenth power: $2^{30} = 8^{10}$ , $3^{20} = 9^{10}$ , and $5^{10}$ , $6^{10}$ .
With the same power, the largest base wins: $9^{10} = 3^{20}$ .

Worth noting

$2^{30}$ has the biggest exponent, but it is only $8^{10}$ .

Ten questions from Numerical Inequalities, at your own pace.

Ten questions from Numerical Inequalities, at your own pace.

Explanation