What is the missing exponent in the following equation?
h^450/ h? = h^215 (1 point)
The missing exponent is 449.
Simplify 12^87 ÷ 12^25. (1 point)
To simplify the expression 12^87 ÷ 12^25, we can subtract the exponents.
12^87 ÷ 12^25 = 12^(87-25) = 12^62
What is the value of 6.9 - 20? (1 point)
4.9
6.9
7.9
5.9
The value of 6.9 - 20 is -13.1.
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 (???-???)
When applied to any non-zero base, the zero power rule states that any nonzero number raised to the power of zero is equal to 1. Therefore, (-33)^0 simplifies to 1.
Using this information, the expression becomes:
1 + 3/2 (8 - 1)
Simplifying further:
1 + 3/2 (7)
Multiplying:
1 + 21/2
Combining:
2/2 + 21/2 = 23/2
Therefore, the equivalent expression to 9. (-33)^0+ 3/2 (8-27^0) is 23/2.
9. (-33)^0+ 3/2 (8-27^0) = blnack · blanck + 3/2 (blanck - blanck)
Apologies for the confusion in my previous response. Let's simplify the expression correctly.
According to the zero power rule, any non-zero number raised to the power of zero is equal to 1. So, (-33)^0 simplifies to 1.
Now, we can rewrite the expression:
1 + 3/2 (8 - 1)
Simplifying inside the parentheses:
1 + 3/2 (7)
Multiplying:
1 + 21/2
Adding:
2/2 + 21/2 = 23/2
Therefore, the simplified expression is:
9. (-33)^0 + 3/2 (8 - 27^0) = 23/2.