Exponent Law 1
Write as a single power:
(35)(310)
What is 315
Write as a single power:
1512 / 157
What is 155
Write as a single power:
(46)3
What is 418
Identify the error:
x5x7=x35
Multiplied the exponents
Answer: x12
35
What is 243
Write as a single power:
x2x4x3
What is x9
Write as a single power:
[(-3)4]3
What is [(-3)12]
Write as a single power:
(28)5
What is 240
Identify the error:
(24)(24)=44
Multiplied the bases and kept exponents the same.
(24)(24)=28
(-11)2
What is 121
Write as a single power:
(1257)(1254)
What is 12511
Write as a single power:
x12 / x7
What is x5
Write as a single power:
(x4)3
What is x12
(4x5)3=12x15
Multiplied the coefficient of 4 by 3 rather than raising 4 to the power of 3.
43 = 64 is not the same as 4(3) = 12
(4x5)3=64x15
-32
What is -9
Write as a single power:
(-x)4(-x)10
What is (-x)14
Write as a single power:
x8 / x8
What is x0 or 1
Write as a single power:
(am)n
What is amn(-3)10
Identify the error
(4x5)3 = 64x8
Added exponents 5 and 3, rather than multiply
(4x5)3 = 64x15
(-5)0
1
Write as a single power:
(712 x 72) ÷ 77
What is 77
Write as a single power:
[(-3)10÷(-3)3]2
What is (-3)12
Write as a single power:
[(-3)4]3 ÷ (-3)2
What is (-3)10
Identify the error:
(5b2)(2b6)= 7b8
Added 5 and 2, rather than multiplying them.
7b8
-50
-1