Answer:
d.
Step-by-step explanation:
To convert a root to a fraction in the exponent, remember this rule:
![\sqrt[n]{a^{m}}=a^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5E%7Bm%7D%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.
In this question, the index is 4.
The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.
![\sqrt[4]{16x^{15}y^{17}} = (\sqrt[4]{16})(\sqrt[4]{x^{15}})(\sqrt[4]{y^{17}}) = (2)(x^{\frac{15}{4}}})(y^{\frac{17}{4}}) = 2x^{\frac{15}{4}}}y^{\frac{17}{4}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16x%5E%7B15%7Dy%5E%7B17%7D%7D%20%3D%20%28%5Csqrt%5B4%5D%7B16%7D%29%28%5Csqrt%5B4%5D%7Bx%5E%7B15%7D%7D%29%28%5Csqrt%5B4%5D%7By%5E%7B17%7D%7D%29%20%3D%20%282%29%28x%5E%7B%5Cfrac%7B15%7D%7B4%7D%7D%7D%29%28y%5E%7B%5Cfrac%7B17%7D%7B4%7D%7D%29%20%3D%202x%5E%7B%5Cfrac%7B15%7D%7B4%7D%7D%7Dy%5E%7B%5Cfrac%7B17%7D%7B4%7D%7D)
To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, ![\sqrt[4]{16}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D)
= 2.
For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.
78÷18=4.3333333
so it's 4.33333 many pancakes with one cup
so then you multiply 4.33333... by 12 which equals 52
So you can make 52 pancakes with 12 cups of flour
Step-by-step explanation:
"In three years, Tonya will be 17."
14 + 3 = 17, so Tonya is 14 atm. (At The Moment)
"Tonya is twice Kevin's age." Kevin is 7, because 7 x 2 = 14.
"In another three years, Uncle Rob will be three times Tonya's age."
Since Tonya is 14, multiply 14 x 3 and you get 42.
If you're asking for the three years, 17 x 3 = 51 < Uncle Rob's age
Kevin is about 8 1/2 years old. Since 8 x 2 = 16, I multiplied 8 1/2 x 2 and got 17.
I hope this helped.
Answer:
x=75
Step-by-step explanation:
Hey There!
If you didn't know the exterior angle of a triangle is equal to the sum of the opposite interior angles of a triangle
So essentially what I'm saying is that
2x-5=70+x
step 1 add 5 to each side
-5+5 cancels out
70+5=75
now we have
2x=70+x
step 2 subtract x from each side
x-x cancels out
2x-x=x
we're left with
x=75
