To simplify this expression, we follow the order of operations (PEMDAS/BODMAS) which dictates that we perform any calculations inside parentheses first, then any exponents or roots, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).
First, we evaluate 4^13, which means multiplying 4 by itself 13 times:
4^13 = 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4.
This is a large calculation, so let's use the calculator: 4^13 = 67,108,864.
Next, we divide 67,108,864 by 3:
67,108,864 ÷ 3 = 22,369,621.333333333.
Finally, we subtract 5:
22,369,621.333333333 − 5 = 22,369,616.333333333.
Therefore, the simplified value of 4^13 ÷ 3 − 5 is 22,369,616.333333333.
Simplify 4^13÷3−5
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