To calculate 2⁵×8/4⁴, we can follow the order of operations (also known as the PEMDAS/BODMAS rule), which states that we should solve any calculations inside parentheses first, then any exponents or roots, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
Using this rule, let's solve the expression step by step:
Step 1: Simplify the exponents. 2⁵ = 2 × 2 × 2 × 2 × 2 = 32 4⁴ = 4 × 4 × 4 × 4 = 256
Step 2: Perform the multiplication. 32 × 8 = 256
Step 3: Perform the division. 256/256 = 1
Therefore, 2⁵×8/4⁴ equals 1.
