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Comparision of Quantities Using Exponents

Question

Which is greatest $2^{12}$ or $3^{8}$

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Solution

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We have the inequality, $a^{m} > b^{n}$ if $a > b, m < n$

We have $3 > 2, 8 < 12$

Hence $3^{8} > 2^{12}$

$∴ 3^{8}$ is the greatest.

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Similar Questions

Q1

Which is greatest

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or

3^{8}

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Q2

Which of the following transmutations demonstrate(s) beta decay?
i.

B u - 212 \to P o - 212

ii.

P b - 212 \to B i - 212

iii.

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Q3

Fill in the blanks.

(i)

(. . . . . .) \div (\frac{- 7}{5}) = \frac{- 2}{3}

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(iii)

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(iv) Multiplicative inverse of

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is ...... .

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Q4

The normal boiling point of water is

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or

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0^{\circ} C

or

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Q5

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