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.
Answer:
51
Step-by-step explanation:
they are congruent so they are equal to eachotjer
Answer:
(14-8)
Step-by-step explanation:
Heres why:
Pedmas
P= Parenthesis
E=Exponents
D=Division
M=Multiplication
A=Addition
S= Subtraction
Do that in order.
Answer: C
Step-by-step explanation:
Bcuz when its square it results to something known as the perfect square trinomial. Thats the way i learned it. Ion know if u learned it the same way pero i hope this helps.
Answer: 0.75 (choice B)
=============================================
Explanation:
One way to set up the equation is to think of it like this
vertical/horizontal = vertical/horizontal
So we could say
(3.5)/(28) = x/6
Cross multiply and solve for x
3.5*6 = 28*x
21 = 28x
x = 21/28
x = (3*7)/(4*7)
x = 3/4 in fraction form
x = 0.75 in decimal form
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Another possible set up equation is
28/6 = (3.5)/x
in this case I divided the horizontal sides together (28 and 6) and the vertical sides divide to form their own separate fraction as well.
Solving that equation should lead you to x = 3/4 = 0.75
Other equations are possible.
