TUTORELA
Learn math
Learn Math by Age
Practice Math
Practice Math by Grade
Blog
About
Features
FAQ
Terms of Service
Privacy Policy
Login
Sign up
Simplify 3^-4 × 3^-2: Negative Exponents Multiplication Problem
Home
Learn math
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
00:09
Let's simplify this problem step by step.
00:12
Remember the rule for exponents: when multiplying with the same base, A,
00:18
the exponents add up. So, it's A to the power of N plus M.
00:24
Let's use this formula in our exercise.
00:28
Pay attention, we're adding negative exponents now.
00:32
When you multiply a positive by a negative, it becomes negative. So, we subtract.
00:39
And there you have it! That's the solution.
Answer
3
−
4
−
2
3^{-4-2}
3
−
4
−
2
More Questions
Multiplication of Powers
Simplify Powers: 2^4 × 2^-2 × 2^3 Using Exponent Rules
Simplify 4^-2 × 4^-4: Negative Exponents Multiplication
Simplify 2^6 × 2^-3: Multiplying Powers with Different Signs
Simplify the Expression: 8^4 × 8 × 8^-1 Using Exponent Laws
Related Subjects
Multiplying Exponents with the Same Base
Question Types
Multiplication of Powers: Calculating powers with negative exponents
Multiplication of Powers: System of equations with no solution