4¹³÷3-⁵
To evaluate 4¹³ ÷ 3 - ⁵, we start by calculating 4 to the power of 13, then divide the result by 3, and finally subtract 5.
Using a calculator, 4¹³ equals 67,108,864.
Now we divide this by 3: 67,108,864 ÷ 3 equals 22,369,621.33 (rounded to two decimal places).
Finally, subtract 5: 22,369,621.33 - 5 = 22,369,616.33 (rounded to two decimal places).
So, 4¹³ ÷ 3 - ⁵ is approximately equal to 22,369,616.33.
Simplified
To simplify 4¹³ ÷ 3 - ⁵ further, we can perform the exponentiation and subtraction steps first before dividing.
First, let's calculate 4³ which equals 64.
Then, let's subtract 5 from this result: 64 - 5 = 59.
Now, we can divide this by 3: 59 ÷ 3 = 19.6666667 (rounded to seven decimal places).
Therefore, the simplified value of 4¹³ ÷ 3 - ⁵ is approximately equal to 19.6666667.
To solve the expression 4¹³÷3-⁵, follow these steps:
Step 1: Simplify any exponents.
In this case, 4¹³ means 4 raised to the power of 13, and 3-⁵ means 3 raised to the power of -5.
Step 2: Perform the exponentiation calculations.
4¹³ is equal to 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 = 67,108,864.
3-⁵ is equal to 1/(3 × 3 × 3 × 3 × 3) = 1/243.
Step 3: Perform the division.
67,108,864 ÷ 243 = 276,865.
Therefore, the expression 4¹³÷3-⁵ is equal to 276,865.