a) To simplify the expression (0,125)^4.8^5, we can first simplify each exponent separately.

(0,125)^4 = 0,125 * 0,125 * 0,125 * 0,125 = 0,001953125

Next, we simplify 4.8^5. Since 4.8 is not a whole number, we can use a calculator to find its value raised to the power of 5.

4.8^5 ≈ 663.4208

Finally, we can multiply the two results together:

(0,001953125) * (663.4208) ≈ 1.295

So, (0,125)^4.8^5 is approximately equal to 1.295.

b) To simplify the expression (-64)^4:16^4, we can simplify each exponent separately.

(-64)^4 = (-64) * (-64) * (-64) * (-64) = 16777216

Next, we simplify 16^4:

16^4 = 16 * 16 * 16 * 16 = 65536

Finally, we divide the two results:

16777216 ÷ 65536 = 256

So, (-64)^4:16^4 is equal to 256.

c) To simplify the expression (-27)^5:9^8, we can simplify each exponent separately.

(-27)^5 = (-27) * (-27) * (-27) * (-27) * (-27) = -14348907

Next, we simplify 9^8:

9^8 = 9 * 9 * 9 * 9 * 9 * 9 * 9 * 9 = 43046721

Finally, we divide the two results:

-14348907 ÷ 43046721 ≈ -0.333333333

So, (-27)^5:9^8 is approximately equal to -0.333333333.

d) To simplify the expression (-36)^3:(-6)^6, we can simplify each exponent separately.

(-36)^3 = (-36) * (-36) * (-36) = -46656

Next, we simplify (-6)^6:

(-6)^6 = (-6) * (-6) * (-6) * (-6) * (-6) * (-6) = 46656

Finally, we divide the two results:

-46656 ÷ 46656 = 1

So, (-36)^3:(-6)^6 is equal to 1.