Apply the zero power rule to create an equivalent expression to 9x(-33)^0 +3/2(8-27^O)
To apply the zero power rule, any number raised to the power of 0 equals 1.
In the given expression:
9x(-33)^0 + (3/2)(8-27^0)
The term (-33)^0 becomes 1:
9x(1) + (3/2)(8-1)
Simplifying further:
9x + (3/2)(7)
The equivalent expression is 9x + 10.5 or 9x + 21/2.
To apply the zero power rule, we need to know that any number (except zero) raised to the power of zero is always equal to 1. Based on this rule, we can simplify the given expression as follows:
9x(-33)^0 + 3/2(8-27^0)
Since any number raised to the power of zero is equal to 1, (-33)^0 becomes 1:
9x(1) + 3/2(8-1)
Next, we simplify the expression within the parentheses:
9x + 3/2(7)
To distribute 3/2 to the terms inside the parentheses, we multiply each term:
9x + (3/2)(7) = 9x + 21/2
So, the equivalent expression, after applying the zero power rule, is 9x + 21/2.
To apply the zero power rule, we need to remember that any number (except zero) raised to the power of zero is equal to 1. So, we can simplify 9x(-33)^0 as 9x1.
Similarly, we need to simplify 27^0 in the expression 3/2(8-27^0). Again, using the zero power rule, we know that 27^0 is equal to 1. Therefore, we can simplify 3/2(8-27^0) as 3/2(8-1).
Now, let's simplify further:
9x1 can be simplified to just 9.
3/2(8-1) can be simplified as 3/2(7).
So the equivalent expression to 9x(-33)^0 + 3/2(8-27^0) is 9 + 3/2(7).