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2 years ago

PLEASEEE HELP! What is the simplest radical form of the expression? (8x^7y^4)^2/3

Mathematics

1 answer:

Leona [35]2 years ago

5 0

Answer:

4x^4 y^2 ∛x^2y^2

Step-by-step explanation:

$(8x^7y^4)^\frac{2}{3} \\\\8^\frac{2}{3}(x^7)^\frac{2}{3}(y^4)^\frac{2}{3}$

$(2^3)^\frac{2}{3}x^7*^\frac{2}{3}y^4*^\frac{2}{3}\\4x^\frac{14}{3}y^\frac{8}{3}$

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After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the

Otrada [13]

Answer:

Original side of triangle = 6 units

Step-by-step explanation:

Given:

Perimeter = 45 units

Scale factor = 2.5 (Increase)

Find:

Original side of triangle = ?

Computation:

Original Perimeter = Perimeter / Scale factor

Original Perimeter = 45 units / 2.5

Original Perimeter = 18 units

Perimeter of an equilateral triangle = 3 (Side)

18 units = 3 (Side)

Side = 6 units

Original side of triangle = 6 units

4 0

3 years ago

Let A {x ∈ N : 3 ≤ x ≤ 13}, B {x ∈ N : x is even}, and C {x ∈ N : x is odd}.

murzikaleks [220]

Answer: The answer is as follows:

Step-by-step explanation:

From the given information, we have

Let A {x ∈ N : 3 ≤ x ≤ 13}, B {x ∈ N : x is even}, and C {x ∈ N : x is odd}

A = {3,4,5,6,7,8,9,10,11,12,13}

B = {2,4,6,8,10,12,14,..........,....}

C = {1,3,5,7,9,11,13,15,17,...........,}

(a) A∩B = {4,6,8,10,12}

(b) A∪B = {3,5,7,9,11,13 and x ∈ N : x is even}

(d) B∪C = { x ∈ N : x is even and x ∈ N : x is odd}

Example of sets A and B when A ∩ B = {3, 5} and A ∪ B = {2, 3, 5, 7, 8}

A = {2,3,5,7,8} and B = {3,5}

7 0

2 years ago

ILL BRAINLIEST YOU PLEASE HELP WITH THIS

jeka94

Answer:

3 < x < 27

Step-by-step explanation:

15 - 12 < x < 15 + 12

3 < x < 27

3 0

2 years ago

Please help me with the question thankyou

Snowcat [4.5K]

Answer:

$24x^{10}$

Step-by-step explanation:

<u>Key skills needed: Exponent multiplication, Multiplication</u>

1) We have the expression --> $(4x^{3})(6x^{7})$

2) We have to simplify this (the parentheses mean multiplication)

The easiest thing to do is: Multiply 4 and 6 --> 4 x 6 = 24.

3) With the step above, the expression now would be $24(x^{3})(x^7)$ .

We now have to do $x^3$ × $x^7$

For this we have to use this exponent rule --> $a^b$ × $a^c$ = $a^{b+c}$ .

4) This means that $x^3$ × $x^7$ = $x^{3+7} = x^{10}$

5) So the simplified expression would be --> $24x^{10}$

<em>Hope you understood and have a nice day!! :D</em>

3 0

2 years ago

At Lucky Seafood, 3 mangos and 5 guavas cost $22.50. Another customer purchased 4 mangos and 6 guavas which cost $28.50. How muc

vfiekz [6]

Answer:

5.99

Step-by-step explanation:th

5 0

2 years ago