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Simplify 4^-2 × 4^-4: Negative Exponents Multiplication
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Simplify 4^-2 × 4^-4: Negative Exponents Multiplication
Question
Simplify the following equation:
4
−
2
×
4
−
4
=
4^{-2}\times4^{-4}=
4
−
2
×
4
−
4
=
Video Solution
Solution Steps
00:00
Simply
00:03
According to the laws of exponents, multiplication of powers 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
00:13
Note that we are adding negative numbers
00:17
Positive times negative is always negative, therefore we subtract
00:23
And this is the solution to the question
Answer
4
−
2
−
4
4^{-2-4}
4
−
2
−
4
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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