Question

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Answer 1

7. a) 2⁰+2²+2³=1+4+8=5+8=13

b)10+10²+10³=10+100+1000=1110

c)17⁰+17=1+17=18

d)3+3•3²=3+3•9=3+27=30

e)(27-7):2²=20:4=5

f)(127-3•3²):10²=(127-3•9):100=(127-27):100=100:100=1

8. a) 1¹+2²+3³+4⁴=1+4+27+256=5+26+256=31+256=287

b)4⁴-3³-2²-1¹=256-27-4-1=229-4-1=225-1=224

$c) {1}^{ {2}^{3} } + {3}^{ {1}^{2} } + {2}^{ {3}^{1} } = {1}^{8} + {3}^{1} + {2}^{3} = 1 + 3 + 8 = 4 + 8 = 12$

d) (2+2²+2³):(10¹-3)=(2+4+8):(10-3)=(6+8):7=14:7=2

1. a) 2¹⁵ < 2⁵¹

b) 5¹⁰¹ > 5¹¹

c)11²³ < 11⁷³

d)1¹⁰⁰ = 1¹⁰⁰⁰

$e)( {7}^{4} ) {}^{0} < {7}^{ {4}^{0} }$

f)3⁴⁷ < 3⁷⁴

3. 2²,4²,2⁵,2⁷