Evaluate the following expression the numerator is [ 1 - ( -4 )^3 ] and the denominator is [ 5^2 - 2 . 6 ] the answer I got was 49
To evaluate the expression, let's simplify the numerator and denominator separately.
Numerator:
-4^3 = -(4*4*4) = -64
So, the numerator is 1 - (-64) = 1 + 64 = 65.
Denominator:
5^2 = 5 * 5 = 25
2.6 = 2 * 6 = 12
So, the denominator is 25 - 12 = 13.
Now, divide the numerator by the denominator: 65 ÷ 13 = 5.
Therefore, the expression evaluates to 5, not 49.
To evaluate the given expression, let's break it down step-by-step.
The numerator is:
1 - (-4)^3
First, we calculate the exponent:
(-4)^3 = -4 * -4 * -4 = -64
The numerator becomes:
1 - (-64)
Since subtracting a negative number is the same as addition, we can rewrite the expression as:
1 + 64
The numerator simplifies to:
65
Next, we calculate the denominator:
5^2 - 2 * 6
First, we square 5:
5^2 = 5 * 5 = 25
Next, we multiply 2 by 6:
2 * 6 = 12
The denominator becomes:
25 - 12
Subtracting 12 from 25 gives us:
13
Finally, we can calculate the expression by dividing the numerator by the denominator:
65 ÷ 13 = 5
Therefore, the evaluation of the given expression is 5.