Question

State true or false and justify your answer.
i) 100×10 power 11
ii)3 power 2×4 power 3=12 power 5
iii)5 power 0=(100000) power 0
iv)4 power 3 = 8 power 2
v) 2 power 5 >3 power 2
vi)(-2) power 4 > (-3) power 4
vii)(-2) power 5 >(-3) power 5​

Answer 1

Answer:

i) 100×10 = 10 power 11

=> False

ii) 3 power 2×4 power 3=12 power 5

=> False

iii) 5 power 0=(100000) power 0

=> True

iv) 4 power 3 = 8 power 2

=> True

v) 2 power 5 >3 power 2

=> True

vi) (-2) power 4 > (-3) power 4

=> False

vii) (-2) power 5 >(-3) power 5

=> False

Step-by-step explanation:

i) { 100x10 = 10³ } ≠ { 10^11 }

ii) { 3²x4³ = 576 } ≠ { 12^5 = 248832 }

iii) { 5^0 = 1 } = { 100000^0 = 1 }

iv) { 4³ = 64 } = { 8² = 64 }

v) { 2^5 = 32 } > { 3² = 9 )}

vi) { -2⁴ = 16 } ≯ { -3⁴ = 81 }

vii) { -2^5 = 32 } ≯ { -3^5 = 243 }

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