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3 years ago

Why do you need to find the common denominator to simplify

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

8 0

Because then you can just add the tops like they are

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Which expression is equivalent to x y Superscript two-ninths?

crimeas [40]

Option D: $x\sqrt[9]{y^2}$ is the expression equivalent to $xy^{\frac{2}{9}}$

Explanation:

Option A: $\sqrt{xy^9}$

The expression can be written as $({xy^9})^{\frac{1}{2}$

Applying exponent rule, we get,

$x^{\frac{1}{2}} y^{\frac{9}{2}}$

Thus, the expression $\sqrt{xy^9}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option A is not the correct answer.

Option B: $\sqrt[9]{xy^2}$

The expression can be written as $({xy^2})^{\frac{1}{9}$

Applying exponent rule, we get,

$x^{\frac{1}{9}} y^{\frac{2}{9}}$

Thus, the expression $\sqrt[9]{xy^2}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option B is not the correct answer.

Option C: $x\sqrt{y^9}$

The expression can be written as $x(y^9)^{\frac{1}{2} }$

Applying exponent rule, we get,

$x y^{\frac{9}{2}}$

Thus, the expression $x\sqrt{y^9}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option C is not the correct answer.

Option D: $x\sqrt[9]{y^{2} }$

The expression can be written as $x(y^2)^{\frac{1}{9} }$

Applying exponent rule, we get,

$xy^{\frac{2}{9}}$

Thus, the expression $xy^{\frac{2}{9}}$ is equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option D is the correct answer.

4 0

3 years ago

Read 2 more answers

Solve: 1/2x - 7 = 1/3 (x-12)

IrinaVladis [17]

Sorry I don’t know the answer hope you find one bye

8 0

3 years ago

16x-4=31+12x please help I'm so confused

kolezko [41]

By the way I looked this up but heres the best ive got
<span>Simplifying (-1x + 27) + (16x + 4) = 0 Reorder the terms: (27 + -1x) + (16x + 4) = 0 Remove parenthesis around (27 + -1x) 27 + -1x + (16x + 4) = 0 Reorder the terms: 27 + -1x + (4 + 16x) = 0 Remove parenthesis around (4 + 16x) 27 + -1x + 4 + 16x = 0 Reorder the terms: 27 + 4 + -1x + 16x = 0 Combine like terms: 27 + 4 = 31 31 + -1x + 16x = 0 Combine like terms: -1x + 16x = 15x 31 + 15x = 0 Solving 31 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 15x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 15x = 0 + -31 15x = 0 + -31 Combine like terms: 0 + -31 = -31 15x = -31 Divide each side by '15'. x = -2.066666667 Simplifying x = -2.066666667</span>

4 0

3 years ago

The number of students enrolled at a college is 18,000 and grows 6% each year. part c: to find the number of students enrolled a

Alex777 [14]

18000 x 6/100 (Because 6%)
1080 each year.
Hope I helped!

8 0

2 years ago

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Sophie [7]

Answer:

-2

Step-by-step explanation: