(-4)^4 divided by (-4)^3
*
(-4)^4 = 16*16 = 256
(-4)^3 = -4*4*4 = -64
Therefore, (-4)^4 divided by (-4)^3 = 256/(-64) = -4.
or, just using the rules of exponents,
(-4)^4 / (-4)^3 = (-4)^1 = -4
Yes, that's correct! Great job using the rules of exponents to simplify the expression.
To divide two powers with the same base, you subtract their exponents. The expression (-4)^4 divided by (-4)^3 can be simplified step-by-step as follows:
Step 1: (-4)^4 = (-4) * (-4) * (-4) * (-4) = 16 * 16 = 256
Step 2: (-4)^3 = (-4) * (-4) * (-4) = -64
Step 3: Divide 256 by -64. When dividing a positive number by a negative number, the result is negative.
Therefore, (-4)^4 divided by (-4)^3 is equal to -256.