What is the missing exponent in the following equation?
h^450/h^? = h^215(1 point)
The missing exponent in the equation is 235.
Simplify 12^87 ÷ 12^25
To simplify this expression, you can subtract the exponents while keeping the same base:
12^87 ÷ 12^25 = 12^(87-25) = 12^62
What is the value of 6.9−2^0?(1 point)
Responses
6.9
6.9
4.9
4.9
5.9
5.9
7.9
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).(2 points)
9⋅(−33)^0+3/2(8−27^0) =
⋅
+3/2(
–
)
Applying the Zero Power Rule, any nonzero number raised to the power of 0 is equal to 1. Therefore, (-33)^0 is equal to 1.
By substituting the value, the expression becomes:
9 * 1 + 3/2(8 - 1)
Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0).(2 points)
Applying the Zero Power Rule, any nonzero number raised to the power of 0 is equal to 1. Therefore, (-33)^0 is equal to 1.
By substituting the value, the expression becomes:
9 * 1 + 3/2(8 - 1) = 9 + 3/2(7)