Simplify 12^87÷12^25 .(1 point)
7 answers
To simplify 12^87 ÷ 12^25, you subtract the exponents. The result is 12^(87-25) = 12^62.
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
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 - 1 = 5.9
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .(2 points)
9⋅(−33)^0+3/2(8−27^0) =
⋅
+3/2(
–
)
9⋅(−33)^0+3/2(8−27^0) =
⋅
+3/2(
–
)
Applying the Zero Power Rule, any number (except for zero) raised to the power of 0 is equal to 1.
So, (-33)^0 = 1.
Now we can simplify the expression:
9⋅(−33)^0+3/2(8−27^0) = 9⋅1 + 3/2(8 - 1) = 9 + 3/2(7) = 9 + 3/2(7) = 9 + 21/2
Adding these two fractions is equal to finding a common denominator, which is 2:
9 + 21/2 = 18/2 +21/2 = 39/2.
Therefore, 9⋅(−33)^0+3/2(8−27^0) simplifies to 39/2.
So, (-33)^0 = 1.
Now we can simplify the expression:
9⋅(−33)^0+3/2(8−27^0) = 9⋅1 + 3/2(8 - 1) = 9 + 3/2(7) = 9 + 3/2(7) = 9 + 21/2
Adding these two fractions is equal to finding a common denominator, which is 2:
9 + 21/2 = 18/2 +21/2 = 39/2.
Therefore, 9⋅(−33)^0+3/2(8−27^0) simplifies to 39/2.
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) .
Applying the Zero Power Rule, any number (except for zero) raised to the power of 0 is equal to 1. (-33)^0 = 1.
Now we can simplify the expression:
9⋅(−33)^0+3/2(8−27^0) = 9⋅1 + 3/2(8 - 1) = 9 + 3/2(7) = 9 + 3/2(7) = 9 + 21/2
Adding these two fractions is equal to finding a common denominator, which is 2:
9 + 21/2 = 18/2 +21/2 = 39/2.
Therefore, 9⋅(−33)^0+3/2(8−27^0) simplifies to 39/2.
Now we can simplify the expression:
9⋅(−33)^0+3/2(8−27^0) = 9⋅1 + 3/2(8 - 1) = 9 + 3/2(7) = 9 + 3/2(7) = 9 + 21/2
Adding these two fractions is equal to finding a common denominator, which is 2:
9 + 21/2 = 18/2 +21/2 = 39/2.
Therefore, 9⋅(−33)^0+3/2(8−27^0) simplifies to 39/2.