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emmainna [20.7K]
2 years ago
6

Which expression is equivalent to

Mathematics
1 answer:
Scilla [17]2 years ago
6 0

The equivalent expression of \frac{(5ab)^3}{30ab^{-7}} is \frac{25a^{2}b^{10}}{6}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

\frac{(5ab)^3}{30ab^{-7}}

Expand the numerator

\frac{(5ab)^3}{30ab^{-7}} =\frac{125a^3b^3}{30ab^{-7}}

Divide 125 and 30 by 5

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^3b^3}{6ab^{-7}}

Apply the law of indices

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{3-1}b^{3+7}}{6}

Evaluate the exponent

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{2}b^{10}}{6}

Hence, the equivalent expression of \frac{(5ab)^3}{30ab^{-7}} is \frac{25a^{2}b^{10}}{6}

Read more about equivalent expression at:

brainly.com/question/2972832

#SPJ1

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Maru [420]

Answer:

V ≈ 21941.33 yd.

Step-by-step explanation:

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3 years ago
a rectangle has sides that are 23 m 19 m and 19 m what is a rectangles lengthA. 19 mB. 23 mC. 84 mD. 46 mthis is what it said Th
sdas [7]

Given Data:

The sides of the rectangle are 23 m, 23 m ,19 m and 19 m.

The length of the rectangle is 23 m.

Thus, option (B) is the correct option.

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1 year ago
Given h of x equals 2 times the square root x minus 5 end root, which of the following statements describes h(x)?
zaharov [31]

The option that describes h(x) is B. The function h(x) is increasing on the interval (5, ∞).

<h3>What is a function?</h3>

In mathematics, a function simply means a relation between the inputs and the outputs.

In this case, the information given is that h(x) is 2 times the square root x minus 5. The square root of the negative number cannot be taken, therefore, the domain of the function is restricted.

Since the domain is restricted, the function is increasing. Therefore, the function h(x) is increasing on the interval (5, ∞).

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brainly.com/question/2833285

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7 0
2 years ago
What is the volume of three cubes with a side length of 1/3 and V=s cubed
anyanavicka [17]
V = S^3

S= 1/3

V = 1/3^3

V = 1/27 cubic unites each

3 cubes = 1/27 x 3 = 3/27 = 1/9 cubic units total
5 0
3 years ago
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malfutka [58]

Answer:

Coordinates of C are (a,a)

Step-by-step explanation:

As x-coordinate of C is equal to that of coordinate D (a)

y-coordinate of C is equal to that of coordinate B (a)

So,

Coordinates of C are (a,a)

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3 years ago
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