Which of the following is the equivalent expression to (15−3 ⋅ 47)04−3 that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses
604−3
Start Fraction 60 over 4 negative cubed end fraction
64
64
1⋅4−3
1 times 4 negative cubed
164
In order to solve this expression using the properties of integer exponents, we need to simplify each term within the expression.
First, we simplify the term within the parentheses: (15−3 ⋅ 47) becomes 15 - (3 ⋅ 47) = 15 - 141 = -126.
Next, we simplify the exponent expression: -12604−3 = -126 × (1/4)^3 = -126 × 1/64 = -1.96875.
Therefore, the equivalent expression is -1.96875, which is closest to the option 164.