Name: _______________________________________________________ Date: _______________________ Math 7: Exponents 2
BASE – the
number that is
multiplied
EXPONENT – tells
how many times the
base is MULTIPLIED
4
POWER – a number
written using exponents
(you have to evaluate
to get the actual
number)
Write each expression using exponents. (Preferably with increasing bases and variables in alphabetical order) 1) 8 • 8 • 8 • 8 • 8 2) a • a • a ⎛ 3 ⎞⎛ 3 ⎞⎛ 3 ⎞⎛ 3 ⎞⎛ 3 ⎞
⎟⎜ ⎟⎜ ⎟⎜ ⎟⎜ ⎟ ⎝ 4 ⎠⎝ 4 ⎠⎝ 4 ⎠⎝ 4 ⎠⎝ 4 ⎠
3) ⎜
5) a • b • b • b • a • b • a 7) 8 • y • b • 7 • n • 6 • 8 • y Expand then evaluate each expression. 9) 23 3
11) 3 13) 15 • 42 4) (−3)(−3)(−3)(−3) 6) 4 • 5 • g • 5 • h • g • k 8) 2 • 2 • 2 • 4 • 4 • r • r • r ` 10) 1 12) 23
14) −3 • 23 6
• 52 Evaluate each expression if x = 2 and y = 10 . Remember to use the order of operations. 15) x
2
+ y 4 16) 3y
18) − h3 if g = 2 and h = 7 . 20) (r
y2
17) 6 x
Evaluate each expression. 19) g
21) 5
(c
3
2
3
gy 2 3
( x2 + y ) 3
+ d 4 ) − ( c + d ) if c = −1 and d = 2 − s)3 + r 2 if r = −3 and s = −4 Write each expression using exponents. (Preferably with increasing bases and variables in alphabetical order) 22) 4 • 4 • 4 • 4 • 4 23) (−11)(−11)(−11) 24) r gs gr gs gr gs gs gr 1
1
• p • k • • p • p • k 2
2
25) 26) ⎜ ⎟⎜ ⎟⎜ ⎟⎜ ⎟⎜ ⎟ 27) n •
⎛ 1 ⎞⎛ 1 ⎞⎛ 1 ⎞⎛ 1 ⎞⎛ 1 ⎞
⎝ 5 ⎠⎝ 5 ⎠⎝ 5 ⎠⎝ 5 ⎠⎝ 5 ⎠
28) 2 • 7 • a • 7 • a • 2 • a Expand then evaluate each expression. 30) 26 29) 3 • 3 • 5 • q • q • q 31) ( −4) ⎛ 4 ⎞
33) ⎜ ⎟ ⎝ 5 ⎠
2
1
and b = 2 . 2
Evaluate each expression. 34) a 2
4
` 3
⎛ 1 ⎞
32) ⎜ ⎟ ⎝ 7 ⎠
1
1
• p • n • 4
4
• b6 if a =
35) k 4
5
• m if k = 3 and m = 6