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3 years ago

Rewrite without rational exponents, and simplify, if possible (x²y²)1/7

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

6 0

$(x^2y^2)^\frac{1}{7}=\sqrt[7]{x^2y^2}$

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Help Please! What is the simplest form of the product? ^3 sqrt 4x^2 * ^3 sqrt 8x^7

iren2701 [21]

Answer:

$2x^3\sqrt[3]{4}$

Step-by-step explanation:

We have been given an expression $\sqrt[3]{4x^2} *\sqrt[3]{8x^7}$ and we are asked to find the product of our given expression.

Using exponent rule of power to powers $(a^{mn}=(a^m)^n)$ we can write $8x^7$ as $(2x^2)^3x$ and $4x^2=(2x)^2$ .

Upon substituting these values in our expression we will get,

$\sqrt[3]{4x^2} *\sqrt[3]{(2x^2)^3x}$

Using exponent rule $\sqrt[n]{x^m} =x^{\frac{m}{n}}$ we will get,

$\sqrt[3]{4x^2} *2x^2\sqrt[3]{x}$

Multiplying $\sqrt[3]{x}$ by $\sqrt[3]{4x^2}$ we will get,

$\sqrt[3]{4x^3} *2x^2$

Using exponent rule $\sqrt[n]{x^m} =x^{\frac{m}{n}}$ we will get,

$x\sqrt[3]{4}*2x^2$

$x*2x^2\sqrt[3]{4}$

$2x^3\sqrt[3]{4}$

Therefore, the simplest form of the product of our given expression will be $2x^3\sqrt[3]{4}$ .

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4 years ago

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Write the standard equation of the circle below.

Natasha_Volkova [10]

Answer:

(x - 3)² + (y - 2)² = 2

Step-by-step explanation:

Every negative symbol in parentheses give you the OPPOSITE terms of what they really are, so you will be moving 3 blocks east up 2 blocks north. Then, we have to know the size of the radius on each side all around from the centre of the circle, which in this case is 2, not 4. Although R² is part of the formula, you do not square it because 2 is the square of 1,414213562:

2 ≈ 1,414213562²

If it was 4, 4 would be considered the square of 2.

I am joyous to assist you anytime.

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3 years ago

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Mary had back surgery and was given a prescription with instructions to take 4 tablets twice a day for pain. How many tablets wi

liraira [26]

Answer:

Step-by-step explanation:

4 x 2 = 8

8 x 7 = 56