Solve the expression 2(1.6^0+7)−4.9^0
To solve this expression, we need to follow the order of operations (also known as PEMDAS): Parentheses, Exponents, Multiplication/Division (from left to right), and Addition/Subtraction (from left to right).
First, we solve the exponent 0. Any number (except 0) raised to the power of 0 is equal to 1. Thus, 1.6^0 equals 1.
Now we can simplify the expression:
2(1+7)−4.9^0
= 2(8)−4.9^0
= 16−4.9^0
Since 4.9^0 is also equal to 1 (any number raised to the power of 0 is 1), the expression becomes:
16−1
Finally, we subtract 1 from 16:
16−1 = 15
Therefore, the solution to the expression 2(1.6^0+7)−4.9^0 is 15.
To solve the expression 2(1.6^0+7)−4.9^0, let's break it down step by step:
Step 1: Evaluate the exponents
Since any number raised to the power of 0 is always 1, we can simplify the exponents:
1.6^0 = 1
4.9^0 = 1
Now the expression becomes: 2(1+7) - 1
Step 2: Simplify the parentheses
Within the parentheses, we have 1 + 7, which equals 8.
So the expression becomes: 2(8) - 1
Step 3: Evaluate multiplication and subtraction
Multiply 2 by 8: 2 * 8 = 16
Subtract 1 from 16: 16 - 1 = 15
Therefore, the expression 2(1.6^0+7)−4.9^0 simplifies to 15.
To solve the expression 2(1.6^0+7)−4.9^0, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Step 1: Start by simplifying within the parentheses.
Inside the parentheses, we have 1.6^0 + 7.
Any number raised to the power of 0 is always equal to 1. So, 1.6^0 = 1.
Therefore, the expression simplifies to 2(1 + 7) - 4.9^0.
Step 2: Continue simplifying within the parentheses.
Within the parentheses, we have 1 + 7, which equals 8.
Now, the expression simplifies to 2(8) - 4.9^0.
Step 3: Compute any remaining exponents.
As mentioned earlier, any number raised to the power of 0 is always equal to 1. So, 4.9^0 = 1.
The expression now becomes 2(8) - 1.
Step 4: Perform the multiplication and subtraction.
Multiply 2 by 8, which gives us 16.
Subtract 1 from 16, resulting in the final answer of 15.
Therefore, the solution to the expression 2(1.6^0+7)−4.9^0 is 15.