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Simplify 3^(-2) × 3^4: Combining Negative and Positive Exponents
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Simplify 3^(-2) × 3^4: Combining Negative and Positive Exponents
Question
Reduce the following equation:
3
−
2
×
3
4
=
3^{-2}\times3^4=
3
−
2
×
3
4
=
Video Solution
Solution Steps
00:00
Simply put
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)
00:10
We will use this formula in our exercise
00:17
We'll keep the base and add the exponents
00:21
And this is the solution to the question
Answer
3
2
3^2
3
2
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Related Subjects
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Question Types
Multiplication of Powers: Calculating powers with negative exponents
Multiplication of Powers: Applying the formula