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Simplify the Expression: 6^x × 6^a × 6^b Using Exponent Rules
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Simplify the Expression: 6^x × 6^a × 6^b Using Exponent Rules
Question
Reduce the following equation
6
x
×
6
a
×
6
b
=
6^x\times6^a\times6^b=
6
x
×
6
a
×
6
b
=
Video Solution
Solution Steps
00:00
Simply put
00:03
According to the laws of exponents, multiplication of powers with equal base (A)
00:08
equals the same base raised to the sum of the exponents (N+M)
00:11
We will use this formula in our exercise
00:14
We'll keep the base and sum the exponents
00:25
And this is the solution to the question
Answer
6
x
+
a
+
b
6^{x+a+b}
6
x
+
a
+
b
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Related Subjects
Multiplying Exponents with the Same Base
Question Types
Multiplication of Powers: Variable in the exponent of the power
Multiplication of Powers: System of equations with no solution