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Simplify 3^-4 × 3^-2: Negative Exponents Multiplication Problem
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Simplify 3^-4 × 3^-2: Negative Exponents Multiplication Problem
Question
Simplify the following equation:
3
−
4
×
3
−
2
=
3^{-4}\times3^{-2}=
3
−
4
×
3
−
2
=
Video Solution
Solution Steps
00:00
Simply
00:03
According to the laws of exponents, multiplication of exponents with equal base (A)
00:06
equals the same base raised to the sum of the exponents (N+M)
00:09
We will use this formula in our exercise
00:12
Note that we are adding negative exponents
00:17
Positive times negative is always negative, therefore we subtract
00:24
And this is the solution to the question
Answer
3
−
4
−
2
3^{-4-2}
3
−
4
−
2
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Related Subjects
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Question Types
Multiplication of Powers: Calculating powers with negative exponents
Multiplication of Powers: System of equations with no solution