Simplify each expression. Assume all variables represent
nonzero real numbers.
-40^0- 30^0
Since a⁰ = 1 for all 0<a<∞,
-40^0- 30^0
= -(40^0+30^0)
= -(1+1)
= -2
a2 c-4
To simplify the expression -40^0 - 30^0, we need to first understand the concept of exponents.
In mathematics, an exponent represents how many times a number (called the base) is multiplied by itself. For example, 2^3 means 2 multiplied by itself three times: 2 * 2 * 2 = 8.
Now, when an exponent is 0, any non-zero number raised to the power of 0 is always equal to 1. So, any number (except 0) raised to the power of 0 will give us 1.
Using this information, we can simplify the expression -40^0 - 30^0 as follows:
-40^0 = -40^0 = -1
30^0 = 30^0 = 1
Now, substituting these values back into the original expression:
-40^0 - 30^0 = -1 - 1 = -2
Therefore, the simplified expression is -2.