Product Rules
Simplify & write your answer as a power: W3 x W7
W10
Simplify & write your answer as a power: q7 / q5
q2
Simplify: 60
1
What does PEMDAS stand for?
Please excuse my dear aunt sally
Write in scientific notation: 8,000
8 x 103
Simplify & write your answer as a power: (r4)6
r24
Simplify & write your answer as a power: (56/53) x 52
5 or 51
Explain the rule for zero exponents.
Any value raised to the zero power equals 1.
Solve: 27 + 56 ÷ 7
35
Write in standard form: 0.00345 x 104
34.5
Simplify & write your answer as a power: (2x2)4
16x8
Evaluate: (311 / 38)
33 = 27
Simplify: (v2 * v4) / (v5 * v5)
1/v4
Solve: (52 + 135 - 102) ÷ 5
12
True or False: Scientific notation is a way to write average numbers in a fancy way.
False
Evaluate: 23 * 22 * 23
28 = 256
Explain the rule when dividing powers with the same base.
When dividing powers with the same base, we subtract the exponents & keep the base.
Solve both problems:
1) (f2 * f-7)
2) (b4 * b4) * b0
1) 1 / f5
2) b8
Solve both problems:
1) 9 x 7 - 5
2) 48 ÷ 6 + 1
1) 58
2) 9
Write each problem in scientific notation:
1) 0.00000612
2) 50,003,100
1) 6.12 x 10-6
2) 5.00031 x 107
Name both product rules learned in class.
1. When multiplying powers with the same base, add the exponents & keep the base.
2. When raising a power to a power, you multiply the exponents.
Evaluate: (4j5k8) / (2jk3)
2j4k5
Explain the rule for we use when we have a negative exponent. Then Simplify the following expression:
y2 * y-7
When there is a negative exponent, we change it to a fraction and make the exponent positive.
y-5 = 1 / y5
Solve: (9 - 5)3 x (7 + 1)2 ÷ 4
1,024
An album receives an award when it sells 10,000,000 copies. An album has sold 7,680,000 copies. How many more copies does it need to sell to receive the award? Write your answer in scientific notation.
2,320,000 = 2.32 x 106