Step-by-step explanation:
we cannot "solve" it, as we don't know anything about y or k, by we can "simplify" it.
as multiplication is commutative, we can split the whole expression into multiplication factors, simplify each factor, and then out the results back together as one large multiplication.
and remember for the simplification of exponents, multiplying terms with the same base means adding the exponents, dividing terms with the same base means subtracting the denominator exponent from the numerator exponent.
and a^-b = 1/(a^b).
so, we could see the main expression as
(-4/-8)×(y⁶/y⁹)×(k²/k⁵)
(-4/-8) = 1/2
(y⁶/y⁹) = y^-3 = 1/y³
(k²/k⁵) = k^-3 = 1/k³
because e.g.
y⁶/y⁹ = (y×y×y×y×y×y)/(y×y×y×y×y×y×y×y×y) = 1/(y×y×y)
putting the results back together gives us
1/2 × 1/y³ × 1/k³ = 1/(2y³k³)
Answer:
-3/4
Step-by-step explanation:
In slope-intercept form, the slope is the coefficient of x.
Answer:
{12,15}
Step-by-step explanation:
Given the function f(x) = x+5, if the range of the function is {7,9}, the domain of the function is derived by simply finding the value of the function at each end point.
At endpoint x = 7,
f(7) = 7+5
f(7) = 12
At endpoint x = 9
f(9) = 9+5
f(9) = 14.
The function domain is therefore at {12,14}
he has 29 dollars because there is now $25 plus the $4 dollars of debt he paid off.