# Identify the greater number wherever possible in each of the following?

S seema garhwal

Q.4.    Identify the greater number, wherever possible, in each of the following?

$(i)4^{3}or \: 3^{4}$     $(ii) 5^{3}or \: 3^{5}$    $(iii) 2^{8}or \: 8^{2}$    $(iv) 100^{2}or \: 2^{100}$      $(v) 2^{10}or \: 10^{2}$

S seema garhwal

$(i)4^{3}or \: 3^{4}$

$4^3=4\times 4\times 4=64$

$3^4=3\times 3\times 3\times 3=81$

since  $81> 64$

$3^4$ is greater than $4^3$

$(ii) 5^{3}or \: 3^{5}$

$5^3=5\times 5\times 5=125$

$3^5=3\times 3\times 3\times 3\times 3=243$

since  $243> 125$

$3^5$ is greater than $5^3$

$(iii) 2^{8}or \: 8^{2}$

$2^8=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=256$

$8^2=8\times 8=64$

since  $256 > 64$

$2^8$ is greater than $8^2$

$(iv) 100^{2}or \: 2^{100}$

$100^2=100\times 100=10000$

$2^1^0^0=2\times 2\times 2\times 2\times 2...........till\, 100\, times\, 2$

since  $2^1^0^0> 100^2$

$2^1^0^0$ is greater than $100^2$

$(v) 2^{10}or \: 10^{2}$

$2^1^0=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=1024$

$10^2=10\times 10=100$

since  $1024> 100$

$2^1^0$ is greater than $10^2$

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