-4 to the 6 power divided by -4 to the 3power
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(-(4 to the 6)) divided by (-(4 to the 3)) = 64
To solve this problem, you need to understand the rules of exponents. When dividing two numbers with the same base, you subtract the exponents.
In this case, you have -4 raised to the 6th power divided by -4 raised to the 3rd power. Since the base is the same (-4), you subtract the exponents: 6 - 3 = 3.
So, the expression simplifies to -4 raised to the 3rd power.
To calculate -4 raised to the 3rd power, you multiply -4 by itself three times:
-4^3 = -4 * -4 * -4 = -64
Therefore, -4 to the 6th power divided by -4 to the 3rd power is equal to -64.