15.8^0/5 + 4 (7^0-6)
To solve this expression step-by-step, let's break it down:
Step 1: Simplify the base
15.8^0 equals 1 since any number raised to the power of 0 is always equal to 1.
Step 2: Simplify the exponent
7^0 also equals 1 since any number (except 0) raised to the power of 0 is always equal to 1.
Step 3: Simplify the expression inside the brackets
7^0 - 6 equals 1 - 6 which is equal to -5.
Step 4: Multiply the result inside the brackets by 4
4 * (-5) equals -20.
Step 5: Add the results together
1/5 + (-20) equals -20 + 1/5.
And there is no further simplification that can be done for this expression. Thus, the final result is -20 + 1/5.
To simplify the given expression, we need to follow the order of operations, also known as the PEMDAS rule (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Let's break down the expression step by step:
Step 1: Evaluate the exponential expression.
15.8^0 = 1.
Any number (except 0) to the power of 0 is always equal to 1.
Now, the expression becomes:
1/5 + 4(7^0 - 6)
Step 2: Simplify the expression inside the parentheses.
7^0 = 1.
Any number (except 0) to the power of 0 is always equal to 1.
Now, the expression becomes:
1/5 + 4(1 - 6)
Step 3: Simplify the expression inside the parentheses.
1 - 6 = -5.
Now, the expression becomes:
1/5 + 4(-5)
Step 4: Perform the multiplication.
4(-5) = -20.
Now, the expression becomes:
1/5 + (-20)
Step 5: Perform the addition.
1/5 + (-20) can be simplified by finding a common denominator, which is 5.
To add fractions with different denominators, we rewrite the fractions with the common denominator.
1/5 + (-20) = 1/5 + (-20/1) = 1/5 - 20/5
Now, the expression becomes:
(1 - 20)/5 = -19/5
Therefore, the simplified expression is -19/5.