Question 128808: Simplify: -3x^0 + (1/2)^-2 - (-2)^3
Answer by crzyy321(5)   (Show Source):
You can put this solution on YOUR website! x^0 evaluates to 1
Multiply 1 and 3
1
3*x^0 evaluates to 3
Because of the minus sign
3 becomes - 3
The answer is -3
1/2 evaluates to
The 1/4 becomes a 4/1
The exponent, -2, is negative, so we'll have to handle it a little bit differently here.
But for now, we'll treat it as it was positive, and handle it in the usual manner... that is, as if it were at +2.
Now, because of the negative exponent, we take this result, and turn it upside-down.
That is, a number becomes 1/the number, or a fraction is literally flipped upside-down.
This effectively "flips" the entire result upside down, but that's exactly what negative exponents do!
In this case...
The 1 becomes a 1/1
(1/2)^-2 evaluates to 4
-3*x^0+(1/2)^-2 evaluates to 1
Because of the minus sign
2 becomes - 2
The answer is -2
Raising -2 to the exponent 3 is the same as multiplying -2 by itself 3 times.
Multiply -2 by -2
Multiply -2 and -2
1
-2 × -2 = 4
4
Multiply 4 by -2
Multiply 4 and -2
1
4 × -2 = -8
-8
(-2)^3 evaluates to -8
-3*x^0+(1/2)^-2-(-2)^3 evaluates to 9
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The final answer is 9
Good Luckk!
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