Zero Power Rule of Exponents Practice

Math 8 Q1 (Pre-Algebra) / Exponent Rules

Solve the expression 2(1.6^0+7)−4.9^0. (1 point)

To solve this expression, we need to apply the Zero Power Rule of exponents. According to the Zero Power Rule, any non-zero base raised to the power of zero is equal to 1.

So, 1.6^0 is equal to 1, and 4.9^0 is also equal to 1.

Now plug in these values into the expression:

2(1 + 7) - 1

We simplify the expression inside the parentheses first, which gives us:

2(8) - 1

Now, we can multiply 2 and 8:

16 - 1

Finally, we subtract 1 from 16:

15

Therefore, the answer is 15.

To solve the expression 2(1.6^0 + 7) - 4.9^0, we will start by simplifying the exponents using the zero power rule.

Step 1: According to the zero power rule, any number (except zero) raised to the power of 0 is equal to 1.

So, 1.6^0 = 1, and 4.9^0 = 1.

Step 2: Now, we can simplify the expression.

2(1 + 7) - 1

Step 3: Inside the parentheses, we perform the addition operation first:

2(8) - 1

Step 4: Finally, we perform the multiplication and subtraction operations:

16 - 1

Step 5: Subtracting 1 from 16, we get the final answer:

15

Therefore, the expression 2(1.6^0 + 7) - 4.9^0 simplifies to 15.