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Simplify the Expression: 4^5 × 4 × 4^2 Using Exponent Rules
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Simplify the Expression: 4^5 × 4 × 4^2 Using Exponent Rules
Question
Simplify the following equation:
4
5
×
4
×
4
2
=
4^5\times4\times4^2=
4
5
×
4
×
4
2
=
Video Solution
Solution Steps
00:00
Simply
00:03
Any number to the power of 1 is always equal to itself
00:06
We'll use this formula in our exercise, and raise to the power of 1
00:12
According to the laws of exponents, multiplication of powers with equal base (A)
00:17
equals the same base raised to the sum of the exponents (N+M)
00:24
We'll use this formula in our exercise
00:28
We'll keep the base and sum the exponents
00:34
And this is the solution to the question
Answer
4
5
+
1
+
2
4^{5+1+2}
4
5
+
1
+
2
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