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
1⋅4−3
1 times 4 negative cubed
604−3
Start Fraction 60 over 4 negative cubed end fraction
64
64
164
Start Fraction 1 times 6 negative 4 end fraction
pick the right anwser
The correct answer is 1⋅4−3
To find the equivalent expression generated by applying the Properties of Integer Exponents, we need to simplify the given expression step by step.
Step 1: Simplify the expression inside the parentheses: (15 - 3 * 47)
15 - 3 * 47 = 15 - 141
Step 2: Perform the subtraction within the parentheses:
15 - 141 = -126
Step 3: Rewrite the expression with the simplified value:
(-126) * 4^(-3)
Step 4: Apply the property of negative exponents, which states that a^(-n) = 1 / a^n:
(-126) * (1 / 4^3)
Step 5: Simplify the exponent:
(-126) * (1 / 64)
Step 6: Divide -126 by 64:
-126 / 64
This gives us the equivalent expression. However, none of the given options match this expression. Therefore, the correct answer is not listed among the provided responses.