Answer:
m = x+y-z
Step-by-step explanation:
Given the expression.
(a^x a ^y) ÷ a^z = a^m
We are to express m in terms of x, y and z.
Using the multiplicative law of indices, the expression becomes:
a^{x+y} ÷ a^z = a^m
Applying the division rule in indices
a^{x+y} ÷ a^z = a^{x+y-z}
The equation becomes
a^{x+y-z} = a^m
Cancel out the base and equate the powers as shown:
x+y-z = m
Hence the expression of m in terms of x, y and z is m = x+y-z
Answer:
1. x = -3 or x = 5
2. x = 4 or x = 7
3. - 4 and 9
4. x = 4 or x = - 6
5. Unfortunately I got this one wrong, but put the answers above and you'll get an 80%
Answer:
x is 135°
Step-by-step explanation:
They are both the same angle.
ANSWER IS LAST CHOICE 256/81
You can take the reciprocal of the fraction and drop the negative sign in the exponent. Then:
(-4/3)^4 = (-4)^4 / 3^4 = 256/81
Given:
Price of car = $32,000
Sales tax = 8%
To find:
The price of car including sales tax.
Solution:
We have,
Price of car = $32,000
Salas tax = 8%
Amount of sales tax = 8% of price of car
Now,
Total price of car including tax = Price of car + Sales tax
Therefore, the price of car including tax is $34560.
