Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>
Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers ![[(7)^{5}*(7)^{3}]](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D)
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:
Then,
We have a power of a power case, which involves multiplying the exponents:
![[(7)^{5}*(7)^{3}]^{-4}](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D%5E%7B-4%7D)
Exponents: 3 and -4
Then,
Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:
Have a nice day!
Solve for m:
(-3 m)/7 = 12
Multiply both sides of (-3 m)/7 = 12 by -7/3:
(-7 (-3) m)/(3×7) = (-7)/3×12
(-7)/3×(-3)/7 = (-7 (-3))/(3×7):
(-7 (-3))/(3×7) m = (-7)/3×12
(-7)/3×12 = (-7×12)/3:
(-7 (-3) m)/(3×7) = (-7×12)/3
(-7)/7 = (7 (-1))/7 = -1:
(-3-1 m)/3 = (-7×12)/3
(-3)/3 = (3 (-1))/3 = -1:
--1 m = (-7×12)/3
(-1)^2 = 1:
m = (-7×12)/3
12/3 = (3×4)/3 = 4:
m = -74
-7×4 = -28:
Answer: m = -28
Answer:
1. 30
2. x<-72
3. 7b=63
4. x=3.2
5. 1/10
Step-by-step explanation:
1. Substitute a for 10
2(150/10)
2*15
30
2. Think of it like a normal equation
x/4<-18
x<-18*4
x<-72
3. 7b=63
4. 2.5x=8
x=3.2
5. 1/5*1/2= 1/10
Answer:shirt = $22.5
skirt= $8.75
Step-by-step explanation:
Let shirt be x and skirt be y
4x + 9y = 168.75--------1
3x + 12y = 172.5---------2
Using elimination method
Multiply eqn 1 by 3 and eqn 2 by 4
12x + 27y= 506.25
12x + 48y = 690
Subtracting
-21y = -183.75
y = $8.75
Put in eqn 1
4x + 9×8.75 = 168.75
4x = 168.75 - 78.75
4x = 90
x = $22.5
