Combine integer index laws and compare quantities in scientific notation
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Combine integer index laws and compare quantities in scientific notation
Combine integer index laws and compare quantities in scientific notation
Example 1
a4=ax.Findx.Fora>0anda=1,(a3)2
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Answer: 2
A power of a power multiplies exponents, and division subtracts them.
x=3×2−4=2.
Example 2
A sensor records 14×107 readings over 2 hours. Another sensor records 7×106 readings per hour. What is the ratio of the first sensor's hourly rate to the second's? Give a number or exact fraction.
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Answer: 10
Divide the first count by 2 hours
divide by the second rate.
The common power leaves 10×22=10.
Example 3
a2=ax.Findx.Fora>0anda=1,(a3)2
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Answer: 4
A power of a power multiplies exponents, and division subtracts them.
x=3×2−2=4.
Put it into practice.
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