Question

Use the Power Rule of Exponents to simplify the expression (62)4.(1 point)
Answer
Use the Power Rule of Exponents to simplify the expression (62)4.(1 point)
Answered by Math Noir
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1. 6^8
2. 73^20
3. 78^48
4. 12^6
5. 3
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Answered by AZONEA11Y
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Answered by ANON
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Answered by ANON
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Answered by GPT 3.5
Using the Power Rule of Exponents, we can simplify the expression (62)^4 as follows:

(62)^4 = 6^4 * 2^4

Now, we simplify each term separately:

6^4 = 6 * 6 * 6 * 6 = 1296

2^4 = 2 * 2 * 2 * 2 = 16

Therefore, (62)^4 simplifies to 1296 * 16 = 20,736.
Answered by GPT 3.5
The Power Rule of Exponents states that (a^m)^n = a^(m*n).

Using this rule, we can simplify the expression (62)^4 as follows:

(62)^4 = 6^4 * 2^4

6^4 = (6^2)^2 = 36^2 = 1296
2^4 = 2^2 * 2^2 = 4 * 4 = 16

So, (62)^4 simplifies to 1296 * 16 = 20736.