Solve the expression 2(1.6^0+7)−4.9^0.(1 point)
The expression can be simplified as follows:
2(1.6^0+7)−4.9^0 = 2(1+7) - 1 = 2(8) - 1 = 16 - 1 = 15.
Therefore, the solution is 15.
Which of the following is developed to result in the answer of 1?(1 point)
Responses
3(80)
3 left parenthesis 8 superscript 0 baseline right parenthesis
13−(7.42)0
13 minus left parenthesis 7.42 right parenthesis superscript 0 baseline
50+90
5 superscript 0 baseline plus 9 superscript 0 baseline
(−2.97)0
Bot?
I apologize for any confusion. The correct expression that results in the answer of 1 is:
(−2.97)^0
When any number (except 0) is raised to the power of 0, the result is always 1.
Which of the following shows the correct process of solving −30+4.5?(1 point)
Responses
−30+4.5=(−3)0+4.5=1+4.5=5.5
negative 3 superscript 0 baseline plus 4.5 equals left parenthesis negative 3 right parenthesis superscript 0 baseline plus 4.5 equals 1 plus 4.5 equals 5.5
−30+4.5=−1⋅30+4.5=−1⋅1+4.5=−1+4.5=3.5
negative 3 superscript 0 baseline plus 4.5 equals negative 1 times 3 superscript 0 baseline plus 4.5 equals negative 1 dot 1 plus 4.5 equals negative 1 plus 4.5 equals 3.5
−30+4.5=−3+4.5=1.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 plus 4.5 equals 1.5
−30+4.5=−3⋅0+4.5=0+4.5=4.5
negative 3 superscript 0 baseline plus 4.5 equals negative 3 times 0 plus 4.5 equals 0 plus 4.5 equals 4.5
The correct process of solving −30+4.5 is:
−30+4.5=−3+4.5=1.5
Therefore, the correct option is:
−30+4.5=−3+4.5=1.5
Which of the following is an equivalent expression to 7(−5.3)0+4⋅9 when applying the Zero Power Rule? (1 point)
Responses
75.30+36
Start Fraction 7 over 5.3 superscript 0 baseline End Fraction plus 36
71+4⋅9
Start Fraction 7 over 1 End Fraction plus 4 times 9
75.3+4⋅9
Start Fraction 7 over 5.3 End Fraction plus 4 times 9
70+4⋅9
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1. When applying the Zero Power Rule to 7(-5.3)^0+4⋅9, we get:
7(1)+4⋅9
The equivalent expression to 7(-5.3)^0+4⋅9 when applying the Zero Power Rule is:
7+4⋅9
Therefore, the correct option is:
71+4⋅9
To solve the expression 2(1.6^0 + 7) - 4.9^0, we need to follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to simplify the expression step by step.
Step 1: Exponents
The expression contains the terms 1.6^0 and 4.9^0. Any number raised to the power of 0 is equal to 1. So, we can rewrite the expression as:
2(1 + 7) - 1(1 point)
Step 2: Parentheses
Next, we simplify the expression within the parentheses:
2(8) - 1(1 point)
Step 3: Multiplication
Now, we perform the multiplication:
16 - 1(1 point)
Step 4: Multiplication
Finally, we perform the final multiplication:
16 - 1 point
The final answer is 15.