4^3/4+1
show your work using pemdas
To solve this expression using PEMDAS (order of operations), we follow this step-by-step approach:
Step 1: Exponents
Evaluate the exponent "4^3" first:
4^3 = 4 × 4 × 4 = 64.
Step 2: Division
Then, divide 64 by 4:
4^3 / 4 = 64 / 4 = 16.
Step 3: Addition
Finally, add 16 and 1:
16 + 1 = 17.
Thus, the answer is 17.
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To solve the expression 4^(3/4) + 1 using PEMDAS, let's break it down step by step:
Step 1: Evaluate the exponent 4^(3/4):
The exponent 3/4 means taking the fourth root of 3. Taking the fourth root can also be written as raising to the power of 1/4.
So, 4^(3/4) is equal to the fourth root of 4^3. Let's calculate 4^3 first:
4^3 = 4 * 4 * 4 = 64
Now, let's take the fourth root of 64:
∛∛∛64 = ∛(4 * 4 * 4 * 4) = 4
Therefore, 4^(3/4) is equal to 4.
Step 2: Add 1 to the result of step 1:
4^(3/4) + 1 = 4 + 1 = 5
Therefore, the final solution is 5.