What is the missing number in this simplified exponential expression: 7^?÷7^5=7^12?(1 point)
The missing number in this simplified exponential expression is 7.
What is the value of 6.9−2^0?(1 point)
Responses
7.9
7.9
5.9
5.9
6.9
6.9
4.9
The value of 6.9 - 2^0 is 6.9.
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0).
The Zero Power Rule states that any number (except zero) raised to the power of zero is equal to 1.
Using this rule, we can simplify the expression:
9⋅(−33)^0 + 3/2(8−27^0)
Since anything raised to the power of zero is equal to 1, we can simplify (−33)^0 to 1.
So the expression becomes:
9⋅1 + 3/2(8−1)
Simplifying further,
9 + 3/2(8−1)
8−1 is equal to 7:
9 + 3/2(7)
Now we can solve for the final value:
9 + 3/2 * 7
7 multiplied by 3/2 is 10.5:
9 + 10.5
Adding 9 and 10.5 gives us the final value:
19.5
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0).
9⋅(−33)^0+3/2(8−27^0) = ? ⋅ ?+3/2(? – ?)
Applying the Zero Power Rule, we know that any number (except zero) raised to the power of zero is equal to 1.
Therefore, (-33)^0 is equal to 1.
Now, we can simplify the expression:
9⋅1 + 3/2(8−1)
Simplifying further:
9 + 3/2(7)
Now, let's simplify the expression within the parentheses:
9 + 3/2 * 7
7 multiplied by 3/2 is equal to 10.5:
9 + 10.5
Finally, adding 9 and 10.5 gives us the final value:
19.5
So, the equivalent expression is:
9⋅(−33)^0 + 3/2(8−27^0) = 19.5
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270).(2 points)
9⋅(−33)0+32(8−270) = __ ⋅ __ +32(__ – __)
Applying the Zero Power Rule, we know that any number (except zero) raised to the power of zero is equal to 1.
Therefore, (-33)^0 is equal to 1.
Now let's simplify the expression:
9⋅1 + 3/2(8−1)
Simplifying within the parentheses:
9 + 3/2(7)
Now let's simplify the expression within the parentheses:
9 + 3/2 * 7
7 multiplied by 3/2 is equal to 10.5:
9 + 10.5
Finally, adding 9 and 10.5 gives us the final value:
19.5
So, the equivalent expression is:
9⋅(−33)^0 + 3/2(8−27^0) = 19.5
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270).(2 points)
9⋅(−33)0+32(8−270) = __ ⋅ __ +32(__ – __)
fill in the blanks