This is equivalent to (56 ÷ 56) ÷ (56 ÷ 56).
Since any number divided by itself is 1, we have 1 ÷ 1.
Therefore, (56)10 ÷ (56)3 = 1 ÷ 1 = 1.
Since any number divided by itself is 1, we have 1 ÷ 1.
Therefore, (56)10 ÷ (56)3 = 1 ÷ 1 = 1.
Step 1: Simplify the parentheses:
(56)10 = 56^10
(56)3 = 56^3
Step 2: Calculate the values inside the parentheses:
(56)10 = 56 raised to the power of 10 = 56 * 56 * 56 * 56 * 56 * 56 * 56 * 56 * 56 * 56 ≈ 8.7 x 10^16
(56)3 = 56 raised to the power of 3 = 56 * 56 * 56 = 175,616
Step 3: Divide the result of (56)10 by the result of (56)3:
8.7 x 10^16 ÷ 175,616 ≈ 4.9 x 10^11
Therefore, (56)10 ÷ (56)3 is approximately equal to 4.9 x 10^11.
Exponents can be simplified first. In this case, both (56)10 and (56)3 represent numbers raised to an exponent, but 56 raised to any exponent is simply 56.
Now our expression has been simplified to 56 ÷ 56.
To compute the division, we divide the numerator (56) by the denominator (56):
56 ÷ 56 = 1
So the final result of (56)10 ÷ (56)3 is 1.