Applying the product rule for exponent numbers, 2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹
Recall the rules of exponent operations:
Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.
Example:
[tex](2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})[/tex]
Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.
Example:
8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2
The given problem:
Simplify (2⁴) (2⁵)
Use the product rule:
2⁴ . 2⁵ = 2⁴⁺⁵ = 2⁹
Learn more about exponent operations here:
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