Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what 
is.
To find it, you would take the reciprocal of the x amount. So becomes 
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So 
would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase to 
, you would have to multiply a with two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease to 
, you would have to divide by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: 
means that you are dividing 1 by a 3 times.
Hope this helps.
Factor:
3x^2 + 27
= 3(x^2 + 9)
Answer is 3(x^2 + 9), when factored.
A) (3x + 9i)(x + 3i)
= (3x + 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + (9i)(x) + (9i)(3i)
= 3x^2 + 9ix + 9ix + 27i^2
= 27i^2 + 18ix + 3x^2
B) (3x - 9i)(x + 3i)
= (3x + - 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + ( - 9i)(x) + (- 9i)(3i)
= 3x^2 + 9ix - 9ix - 27i^2
= 27i^2 + 3x^2
C) (3x - 6i)(x + 21i)
= (3x + - 6i)(x + 21i)
= (3x)(x) + (3x)(21i) + (- 6i)(x) + ( -6i)(21i)
= 3x^2 + 63ix - 6ix - 126i^2
= - 126i^2 + 57ix + 3x^2
D) (3x - 9i)(x - 3i)
= (3x + - 9)(x + - 3)
= (3x)(x) + (3x)( - 3i) + (- 9)(x) + ( - 9)( - 3i)
= 3x^2 - 9ix - 9x + 27i
= 9ix + 3x^2 + 27i - 9x
Hope that helps!!!
Answer:
Step-by-step explanation:
180 - 152 = 28
2x + 28 = 180
2x = 152
x = 76
Alexandera=a
imani=i
a is 8 more than i or
a=8+i
the sum of the 2 numbers is 50 or
a+i=50
a=8+i
so subsitute 8+i for a in a+i=50
8+i+i=50
8+2i=50
subtract 8 from both sides
2i=42
divide both sides by 2
i=21
subsiutte into a=8+i
a=8+21
a=29
a=29
i=21
