6 to the power 5 ÷ 6³+7 to the power zero
(6^5 /6^3) + 7^0 ???
6^2 + 1
37
If you mean
(6 to the power 5) ÷ (6³) + (7 to the power zero)
or, losing all the static
6^5 / 6^3 + 7^0
= 6^2 + 1
= 37
You may group otherwise, but the evaluations of the powers will be the same.
To solve this expression, you need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Let's compute each part step by step:
Step 1: Evaluate the exponents.
6 to the power 5: This means multiplying 6 by itself five times.
6 to the power 5 = 6 × 6 × 6 × 6 × 6 = 7776
6 to the power 3: Similarly, multiply 6 by itself three times.
6 to the power 3 = 6 × 6 × 6 = 216
7 to the power 0: Any number (except zero) raised to the power of zero is always equal to 1.
7 to the power 0 = 1
Step 2: Perform the division.
6 to the power 5 ÷ 6³ = 7776 ÷ 216 = 36
Step 3: Add the remaining terms.
36 + 1 = 37
Therefore, the result of the expression 6 to the power 5 ÷ 6³ + 7 to the power 0 is 37.