Exponents

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# Exponents - PowerPoint PPT Presentation

2. Rewrite using just the letter d. 3d. Gabriel Lucas - Math 70.08. A: d ... 4. Rewrite using just the letter y. y5. Gabriel Lucas - Math 70.08. A: y ...

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## PowerPoint Slideshow about 'Exponents' - Kelvin_Ajay

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### Exponents

Gabriel Lucas - Math 70.08

Question

Guess

Important rules in blue

(I may collect this)

Gabriel Lucas - Math 70.08

1. Rewrite using just the number 7

4·7

Gabriel Lucas - Math 70.08

A: 7 + 7 + 7 + 7

Which one?

B: 7 · 7 · 7 · 7

Gabriel Lucas - Math 70.08

A: 7 + 7 + 7 + 7

because 4 · 7 = 4 sevens = 28

B: 7 · 7 · 7 · 7

Gabriel Lucas - Math 70.08

2. Rewrite using just the letter d

3d

Gabriel Lucas - Math 70.08

A: d + d + d

Which one?

B: d · d · d

Gabriel Lucas - Math 70.08

A: d + d + d

because 3d = 3 d’s = d + d + d

B: d · d · d

Gabriel Lucas - Math 70.08

Rule 1

a(x) =

x + x + … + x + x

?

Gabriel Lucas - Math 70.08

Rule 1

a(x) =

x + x + … + x + x

a

Gabriel Lucas - Math 70.08

3. Rewrite using just the number 3

34

Gabriel Lucas - Math 70.08

A: 3 + 3 + 3 + 3

Which one?

B: 3 · 3 · 3 · 3

Gabriel Lucas - Math 70.08

A: 3 + 3 + 3 + 3

because 34 = Multiply 3 times itself 4 times

B: 3 · 3 · 3 · 3

Gabriel Lucas - Math 70.08

4. Rewrite using just the letter y

y5

Gabriel Lucas - Math 70.08

A: y + y + y + y + y

Which one?

B: y · y · y · y · y

Gabriel Lucas - Math 70.08

A: y + y + y + y + y

because y5 = Multiply y times itself 5 times

B: y · y · y · y · y

Gabriel Lucas - Math 70.08

Rule 2

xb =

x · x · … · x · x

?

Gabriel Lucas - Math 70.08

Rule 2

xb =

x · x · … · x · x

b

Gabriel Lucas - Math 70.08

5. Rewrite w/out the fraction

Gabriel Lucas - Math 70.08

Rule 3

Left hand side gets the 2

y2 = x5

Right hand side gets the 5

Gabriel Lucas - Math 70.08

6. Rewrite w/out the fraction

Gabriel Lucas - Math 70.08

y7 = x3

Gabriel Lucas - Math 70.08

7. Rewrite w/out the fraction

Gabriel Lucas - Math 70.08

y2 = 811= __

Gabriel Lucas - Math 70.08

y2 = 811= __

Gabriel Lucas - Math 70.08

y2 = 811 = 81

Gabriel Lucas - Math 70.08

8. Solve for y

y2 = 81

y = __

Gabriel Lucas - Math 70.08

y2 = 81

y = 9 or -9

Gabriel Lucas - Math 70.08

9. If you saw...

…you could write

y = 81

(what’s missing?)

Gabriel Lucas - Math 70.08

If you saw...

…you could write

Gabriel Lucas - Math 70.08

Rule 4a

means

Gabriel Lucas - Math 70.08

10. Rewrite w/out the fraction

Gabriel Lucas - Math 70.08

y2 = 43

Gabriel Lucas - Math 70.08

y2 = 43

Solve for y

y = ___

Gabriel Lucas - Math 70.08

y2 = 43

Gabriel Lucas - Math 70.08

11. If you saw...

…you could write

y = ____

Gabriel Lucas - Math 70.08

If you saw...

…you could write

Gabriel Lucas - Math 70.08

Rule 4b

means

Gabriel Lucas - Math 70.08

y2 = x

yy = x

Gabriel Lucas - Math 70.08

y2 = x

y3 = x

yy = x

yyy = x

Gabriel Lucas - Math 70.08

y2 = x

y3 = x

yy = x

yyy = x

Gabriel Lucas - Math 70.08

ym = x

y2 = x

y3 = x

yy = x

yyy = x

y·…·y = x

Gabriel Lucas - Math 70.08

ym = x

y2 = x

y3 = x

yy = x

yyy = x

y·…·y = x

Gabriel Lucas - Math 70.08

Rule 5

means

Gabriel Lucas - Math 70.08

Rule 6

ym ·yn = ym + n

(xy)m = xm · ym

xm ·ym = (xy)m

= ym - n

y0 = 1

(ym)n = ym · n

y1 = y

Gabriel Lucas - Math 70.08