Which of the following shows the correct process of solving −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule? (1 point)
Responses
−4(3+12^0)+15^0 =−4(15)+15=−60+15=−45
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 15 equals negative 60 plus 15 equals negative 45
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+12^0)+15^0=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20
The correct process of solving −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule is:
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
Which of the following shows the correct process of solving −4(3+120)+150 by generating an equivalent expression using the Zero Power Rule? (1 point)
Responses
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−16+1=−15
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 16 plus 1 equals negative 15
−4(3+120)+150=−4(15)+1=−60+1=−59
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 1 equals negative 60 plus 1 equals negative 59
−4(3+120)+150 =−4(15)+15=−60+15=−45
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 15 right parenthesis plus 15 equals negative 60 plus 15 equals negative 45
−4(3+120)+150=−4(3+1)+1=−4⋅4+1=−4⋅5=−20
negative 4 left parenthesis 3 plus 12 superscript 0 baseline right parenthesis plus 15 superscript 0 baseline equals negative 4 left parenthesis 3 plus 1 right parenthesis plus 1 equals negative 4 times 4 plus 1 equals negative 4 times 5 equals negative 20
The correct process of solving −4(3+12^0)+15^0 by generating an equivalent expression using the Zero Power Rule is:
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
So the correct answer is:
−4(3+12^0)+15^0=−4(3+1)+1=−4⋅4+1=−16+1=−15
To solve the expression −4(3+12^0)+15^0 using the Zero Power Rule, we need to understand the rule first.
The Zero Power Rule states that any nonzero number raised to the power of 0 is equal to 1. So, for any number x ≠ 0, x^0 = 1.
Now, let's evaluate the given expression step by step:
Step 1: Simplify the exponents
- Start by simplifying the exponents. 12^0 is equal to 1, and 15^0 is also equal to 1.
So, the expression becomes −4(3+1)+1.
Step 2: Simplify the parentheses
- Evaluate the parentheses. 3+1 is equal to 4.
So, the expression becomes −4(4)+1.
Step 3: Multiply
- Multiply -4 by 4. -4(4) equals -16.
So, the expression becomes -16+1.
Step 4: Add
- Finally, -16+1 equals -15.
Therefore, the correct process of solving the expression is −4(3+12^0)+15^0 = -15.
Hence, the correct answer is:
−4(3+12^0)+15^0 = −4(3+1)+1 = −4⋅4+1 = −16+1 = -15.