X 2 + 2 = 11 X 2 = 9 X = 3 Check: X 2 + 2 = 3 x 3 +2 = 11 We can solve this equation by:
Warm-up, 3/28 Compute: 1. 2 x 2 x 2 x 2 = 2. 3 x 3 x 3 = 3. 2 x 2 x 3 x 3 x 3 = 4. 5 x 5 x 2 x 2 =...
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Warm-up, 3/28 Compute: 1. 2 x 2 x 2 x 2 = 2. 3 x 3 x 3 = 3. 2 x 2 x 3 x 3 x 3 = 4. 5 x 5 x 2 x 2 = 5. 2 x 2 x 4 =
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Transcript of Warm-up, 3/28 Compute: 1. 2 x 2 x 2 x 2 = 2. 3 x 3 x 3 = 3. 2 x 2 x 3 x 3 x 3 = 4. 5 x 5 x 2 x 2 =...
Warm-up, 3/28
Compute:
1. 2 x 2 x 2 x 2 =
2. 3 x 3 x 3 =
3. 2 x 2 x 3 x 3 x 3 =
4. 5 x 5 x 2 x 2 =
5. 2 x 2 x 4 =
• In other words, when multiplying two numbers in exponential form with the same base, add the exponents.
What happens if we divide?75
73
75 = 7 7 7 7 7
73 7 7 7
Cancel out any numbers that are in the numerator AND denominator!
• In other words, when dividing two numbers in exponential form with the same base, subtract the exponents.
Can we have negative exponents?
• Yes! Negative exponents represent the reciprocal.
• The reciprocal of x is
The reciprocal of 10 is
• They do NOT make the answer negative.
x
1
10
1