simplify 12^87 divided by 12^25
To simplify this expression, we can subtract the exponents of 12.
12^87 divided by 12^25 is equivalent to 12^(87-25) which is equal to 12^62.
what is the missing number in this simplified exponential expression: 7^? divided by 7^5 = 7^12?
To find the missing number, we can equate the exponents of 7.
We have 7^? divided by 7^5 equal to 7^12.
Using the quotient rule of exponents, we subtract the exponents because the bases are the same:
7^(? - 5) = 7^12.
To maintain equality, the exponents should be the same, so:
? - 5 = 12.
Adding 5 to both sides of the equation, we get:
? = 17.
Therefore, the missing number is 17.
what is the value of 6.9 - 2^0?
Any number raised to the power of 0 is equal to 1. Therefore, 2^0 = 1.
To find the value of 6.9 - 2^0, we substitute 2^0 with 1:
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)
9*(-33)^0 + 3/2 (8 - 27^0) = _____ * _____ + 3/2 (____ - _____)
Applying the zero power rule, any non-zero number raised to the power of 0 is equal to 1. Therefore:
9*(-33)^0 = 9 * 1 = 9
And:
27^0 = 1
Now, substituting these values into the expression:
9*(-33)^0 + 3/2 (8 - 27^0) = 9 * 1 + 3/2 (8 - 1)
The expression becomes:
(9 * 1) + 3/2 (8 - 1) = 9 + 3/2 (7)
Therefore, the equivalent expression is:
9 + 3/2 (7).
solve the expression 15*8^0/5 + 4 (7^0 - 6)
Using the zero power rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, 8^0 = 1 and 7^0 = 1.
Now we can solve the expression:
15*8^0/5 + 4 (7^0 - 6)
= 15*1/5 + 4 (1 - 6)
= 15/5 + 4 (-5)
Simplifying further:
= 3 + 4 (-5)
= 3 - 20
= -17
Therefore, the value of the expression 15*8^0/5 + 4 (7^0 - 6) is -17.