Evaluate 2^3 × 3^2 × 9^0
Since 9^0 equals 1, the given expression simplifies to:
2^3 × 3^2 × 1
Next, we can evaluate each power of the base separately using the rules of exponents.
2^3 = 2 × 2 × 2 = 8
3^2 = 3 × 3 = 9
Therefore, the expression simplifies to:
8 × 9 × 1 = 72
Therefore, 2^3 × 3^2 × 9^0 = 72.
To evaluate the expression 2^3 × 3^2 × 9^0, we need to follow the rules of exponents. Here's the step-by-step process:
Step 1: Evaluate 2^3.
2^3 means 2 raised to the power of 3. This can be calculated by multiplying 2 by itself three times:
2^3 = 2 * 2 * 2 = 8.
Step 2: Evaluate 3^2.
3^2 means 3 raised to the power of 2:
3^2 = 3 * 3 = 9.
Step 3: Evaluate 9^0.
Any number (except zero) raised to the power of 0 is equal to 1. Therefore:
9^0 = 1.
Step 4: Calculate the expression.
Now, combine the exponential evaluations:
2^3 × 3^2 × 9^0 = 8 × 9 × 1 = 72.
So, 2^3 × 3^2 × 9^0 equals 72.