The negative exponents to represent the inverse operation:
11−7 • 115 = 11 - 11^(-7) * 115 = 11 - 11^(-7+1) = 11 - 11^(-6) .
Equivalent Expressions for 11−7 • 115
There are several equivalent expressions for the given expression 11−7 • 115, depending on the desired form and level of simplification.
Here are a few options:
1. Using Order of Operations:
According to the order of operations (PEMDAS), multiplication is performed before subtraction.
Therefore, the expression is simplified as:
11−7 • 115 = 11 - (7 * 115) = 11 - 794 = -783
2. Using Exponent Notation:
We can rewrite the multiplication as exponentiation:
11−7 • 115 = 11 - 7 * 11^1 = 11 - 11^(1+1) = 11 - 11^2
3. Using Inverse Notation:
We can rewrite the subtraction using the concept of inverse:
11−7 • 115 = 11 - 11^(1/1) * 115 = 11 - (1/11) * 115 = 11 - 15
4. Using Fractional Exponents:
We can combine the multiplication and subtraction using fractional exponents:
11−7 • 115 = 11^(1 - 7/1) * 115 = 11^(-6) * 115 = 11^(-6+1) = 11^(-5)
5. Using Negative Exponents:
We can use negative exponents to represent the inverse operation:
11−7 • 115 = 11 - 11^(-7) * 115 = 11 - 11^(-7+1) = 11 - 11^(-6)