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Y_Kistochka [10]
2 years ago
7

Simplify to a single power of 5: (5^4)^3

Mathematics
1 answer:
Vlada [557]2 years ago
5 0

Answer:

5^12

Step-by-step explanation:

This is called the "Power of Powers rule." When you are doing this rule, the inside exponent inside the parenthesis (the ^4 in this case) multiplies with the one outside the parenthesis, like this: 5^4*3 = 12.

However, if there is a base number next to the exponent <em>outside</em> the parenthesis that is a <em>different</em> number than the one inside the parenthesis, this method will not work. (Example: (5^4)5^3)

Important note: Anytime you are combining exponents through any rule, the base number must be the same to be able to combine.

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