3. More Multiplication Properties of Exponents
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Recall the Power of a Product and the Power of a Power Properties.
4.2875* 10^(- 11)
We want to simplify the given expression and write the answer in scientific notation. To do so, we will apply the Power of a Product and the Power of a Power Properties.
Power of a Product:& (ab)^n = a^nb^n
Power of a Power:& (a^m)^n = a^(m* n)
(a * b)^m=a^m* b^m
(a^m)^n=a^(m* n)
Calculate power
Now we have to write the simplified expression in scientific notation.
Rewrite 42.875 as 4.2875* 10
a*a^m=a^(1+m)
Subtract term