Everything Maths Grade 10

s) 10 x=0,001 t) 2 x

(^2) 2 x 3
= 1
u)
8 x 1
2 x 1
= 8: 2 x+ 9 v)
27 x 1
9 x+ 3x+ 1

=

8

9

2.The growth of algae can be modelled by the functionf(t) = 2t. Find the value oftsuch thatf(t) = 128.

3.Use trial and error to find the value ofxcorrect to 2 decimal places

2 x= 7

4.Use trial and error to find the value ofxcorrect to 2 decimal places

5 x= 11

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1a.2F37 1b.2F38 1c.2F39 1d.2F3B 1e.2F3C 1f.2F3D

1g.2F3F 1h.2F3G 1i.2F3H 1j.2F3J 1k.2F3K 1l.2F3M

1m.2F3N 1n.2F3P 1o.2F3Q 1p.2F3R 1q.2F3S 1r.2F3T

1s.2F3V 1t.2F3W 1u.2F3X 1v.2F3Y 2.2F3Z 3.2F42

4.2F43

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2.5 Summary EMAW

See presentation:2F44atwww.everythingmaths.co.za

• Exponential notation means writing a number asanwherenis any natural number andais any real
  number.


• ais the base andnis the exponent or index.


• Definition:
  
  
  • an=aa
    
    
    a (ntimes)
  
  
  • a^0 = 1, ifa̸= 0
  
  
  • an=
  
  
  
  

1

an

, ifa̸= 0

1

an

=an, ifa̸= 0

• The laws of exponents:
  
  
  • aman=am+n
  
  
  • 
    
  
  
  
  

am

an

=amn

• (ab)n=anbn


• 
  

(a

b

)n

=

an

bn

• (am)n=amn


• When simplifying expressions with exponents, we can reduce the bases to prime bases or factorise.


• When solving equations with exponents, we can apply the rule that ifax=aythenx=y; or we can
  factorise the expressions.

56 2.5. Summary