Answer:
5^3 y^5
125 y^5
Step-by-step explanation:
5y^3/(5y)^-2
Distribute the exponent in the denominator
5y^3/(5 ^-2 y^-2)
A negative exponent in the denominator brings it to the numerator
5y^3 5 ^2 y^2
Combine like terms
5 * 5^2 * y^3 5^2
We know that a^b * a^c = a^(b+c)
5^(1+2) * y^( 3+2)
5^3 y^5
125 y^5
Answer:
5
(3a²b³c)³(2a⁴b²c²)³
= (3a⁶b⁹c³)(8a¹²b⁶c⁶)
= 24a¹⁸b¹⁵c⁹
14
⁴√(81a¹⁶b¹²c⁹)
= (⁴√81)(⁴√a¹⁶)(⁴√b¹²)(⁴√c⁹)
Answer: Do want to solve it using the quadratic formula because if so the answer is m=7,-2
Step-by-step explanation:
Get the equation to slope-intercept form: y = mx + b
6x + 3y = 6
Subtract 6x from both sides. This will give you 3y = -6x + 6.
Then, divide by 3 on both sides. This gives you y = -6x + 2.
2 is your y intercept and -6 is your slope.
You wan't to get it into a format of (x+a)(x+b)=0
where a+b = 3 (the one from the 3x)
and where a*b= -4 (from the last -4)
(x+4)(x-1)=0
See how 4+(-1) = 3 and (4)(-1) = -4
now find what values of x would make the equation equal 0
x=-4
(-4+4)(-4-1) = (0)(-5) = 0
x=1
(1+4)(1-1) = (5)(0) = 0
