solve the expression 15 times 8 to the power of 0 / 5 + 4 (7 to the power of 0 - 6)
To solve the expression, we follow the appropriate order of operations (also known as PEMDAS).
First, let's calculate the exponentiation:
8 to the power of 0 = 1
7 to the power of 0 = 1
Now we rewrite the expression:
15 * 1 / 5 + 4 * (1 - 6)
Next, we perform the multiplication and addition/subtraction from left to right:
15 * 1 = 15
15 / 5 = 3
4 * (1 - 6) = 4 * (-5) = -20
Finally, we add the results together:
3 + (-20) = -17
Therefore, the solution to the expression 15 times 8 to the power of 0 divided by 5 plus 4 times the quantity of 7 to the power of 0 minus 6, is -17.
To solve the expression step-by-step, we'll follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, and Addition and Subtraction - from left to right).
Step 1: Evaluate the expressions within parentheses first.
7 to the power of 0 = 1.
Step 2: Evaluate the exponent.
8 to the power of 0 = 1.
Step 3: Perform the multiplication and division from left to right.
15 × 1 = 15.
Step 4: Move on to the addition and subtraction from left to right.
15 / 5 = 3.
Step 5: Evaluate the expression.
3 + 4 × (1 - 6)
= 3 + 4 × (-5)
= 3 - 20
= -17
Therefore, the value of the expression is -17.
To solve the expression, let's break it down step by step:
Step 1: Calculate the value inside the parentheses.
7 to the power of 0 is always equal to 1.
So, 7 to the power of 0 - 6 = 1 - 6 = -5.
Step 2: Calculate 15 times 8 to the power of 0.
The expression 8 to the power of 0 is always equal to 1.
So, 15 times 8 to the power of 0 = 15 times 1 = 15.
Step 3: Calculate the expression after the division sign.
15 times 8 to the power of 0 / 5 = 15 / 5 = 3.
Step 4: Calculate 4 times the result from Step 1.
4 times (-5) = -20.
Step 5: Calculate the final expression.
3 + (-20) = -17.
Therefore, the solution to the expression 15 times 8 to the power of 0 / 5 + 4 (7 to the power of 0 - 6) is -17.