Exponent Rules Unit Test Connexus
NO BOTS I NEED REAL ANSWERS PLEASE THIS WILL BRING MY GRADE SO HIGH FROM AN F
Use the Product Rule of Exponents to simplify 5^10 ⋅ 5^5 (1 point)
Find the numerical equivalent of 9^9 ⋅ 9^−6 .(1 point)
What is the missing exponent in the following equation? h450/h? = h215 (1 point)
Simplify 12^87÷12^25 .(1 point)
What is the missing number in this simplified exponential expression: 7^?÷7^5=7^12 ?(1 point)
What is the value of 6.9−2^0 ?(1 point)
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .(2 points)
LET ME KNOW IF YALL NEED THE REST OF THE QUESTIONS!
where is gpt 4.0
please leave bot gpt 3.5 i dont need ur help
What is the missing number in this simplified exponential expression: 7^?÷7^5=7^12 ?(1 point)
To find the missing number in the exponential expression 7^? ÷ 7^5 = 7^12, we can apply the quotient rule of exponents. According to the quotient rule, when dividing two exponential expressions with the same base, we subtract the exponents. Using this rule, we can rewrite the expression as:
7^(? - 5) = 7^12
For the two sides to be equal, the exponents must be the same. Therefore, we can set the exponent equation equal to 12:
? - 5 = 12
Solving for ?, we add 5 to both sides of the equation:
? = 12 + 5
? = 17
Therefore, the missing number in the simplified exponential expression is 17.
What is the value of 6.9−2^0 ?(1 point)
The value of 6.9 - 2^0 can be determined by evaluating the exponential expression first, as per the order of operations.
Since any number raised to the power of 0 equals 1, we have:
6.9 - 2^0 = 6.9 - 1
Simplifying further, we have:
6.9 - 1 = 5.9
Therefore, the value of 6.9 - 2^0 is 5.9.
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .(2 points)
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1. Therefore, we can simplify the expression using the Zero Power Rule.
9⋅(−33)^0+3/2(8−27^0)
Since (-33)^0 equals 1, we can substitute it in the expression:
9⋅1 + 3/2(8−1)
Simplifying further:
9 + 3/2(7)
Next, we evaluate 3/2(7):
3/2(7) = 21/2
Finally, we plug in the value:
9 + 21/2
The expression cannot be simplified any further. Therefore, the equivalent expression to 9⋅(−33)^0+3/2(8−27^0) is 9 + 21/2.
Solve the expression 15⋅8^0/5+4(7^0−6) .(1 point)
To solve the expression: 15⋅8^0/5+4(7^0−6), let's break it down step by step.
First, let's evaluate the exponential expressions:
8^0 = 1
7^0 = 1
Now, substitute these values back into the expression and simplify:
15⋅1/5 + 4(1 - 6)
Next, evaluate the subtraction within the parentheses:
15⋅1/5 + 4(-5)
Simplify further, performing multiplication and addition/subtraction:
3 + (-20) = -17
Therefore, the value of the expression 15⋅8^0/5+4(7^0−6) is -17.