what is (7^0) (-5^2) simplified
To simplify the expression (7^0)(-5^2), you need to start by evaluating the exponents before performing the multiplication.
First, any number raised to the power of 0 equals 1. Thus, 7^0 = 1.
Next, calculate -5^2. The exponent 2 is applied to the base -5. Squaring a negative number yields a positive result: (-5)^2 = 25.
Now, substitute these values back into the original expression: (7^0)(-5^2) = (1)(25).
Finally, multiply 1 by 25 to obtain the simplified result: 1 * 25 = 25.
Therefore, (7^0)(-5^2) simplified equals 25.
To simplify the expression (7^0)(-5^2), let's break it down step by step:
Step 1: Evaluate 7^0
Any number raised to the power of zero is equal to 1.
So, 7^0 = 1.
Step 2: Evaluate -5^2
First, apply the exponentiation: -5^2 = -(5^2).
Second, calculate the square: (5^2) = (5 * 5) = 25.
Finally, apply the negative sign: -(5^2) = -25.
Step 3: Multiply the results of step 1 and step 2
1 * -25 = -25.
Therefore, the simplified expression is -25.