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dimulka [17.4K]
3 years ago
15

Which expression is equivalent to

Mathematics
2 answers:
Bezzdna [24]3 years ago
7 0

Answer:

The correct answer is option 2.

The equivalent of given expression is,  

3/5x⁶y⁶

Step-by-step explanation:

Identities:

xᵃ/xᵇ = x⁽ᵃ⁻ᵇ⁾

1/x-ᵃ=xᵃ

It is given that,

(-9x⁻¹y⁻⁹)/(-15x⁵y⁻³)

<u>To find the equivalent expression </u>

The expression is,

(-9x⁻¹y⁻⁴)/(-15x⁵y⁹)

By using the above identities we can write,

-9x⁻¹y⁻⁹/-15x⁵y⁻³ = 3/(5x⁽⁵⁺¹⁾y⁽⁹⁻³⁾)

since xᵃ/xᵇ = x⁽ᵃ⁻ᵇ⁾

1/x-ᵃ=xᵃ

-9x⁻¹y⁻⁹/-15x⁵y⁻³  = 3/5x⁶y⁶

Therefore the correct answer is second option.

3/5x⁶y⁶ is the equivalent fraction of given expression.

nirvana33 [79]3 years ago
3 0

For this case, we must find an expression equivalent to:

\frac {-9x ^ {- 1} y ^ {- 9}} {- 15x ^ 5y ^ {- 3}}

By definition of power properties we have:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Rewriting the previous expression we have:

The "-" are canceled and we take into account that:

\frac {9} {15} = \frac {3} {5}

So:

\frac {3} {5x^5 * x ^ 1 *y ^ 9* y ^ {- 3}} =

According to one of the properties of powers of the same base, we must put the same base and add the exponents:

\frac {3} {5x ^ {5 + 1} * y ^ {9-3}} =\\\frac {3} {5x ^ 6 * y ^ 6}

Answer:

\frac {3} {5x ^ 6 * y ^ 6}

Option B

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I need help) (only the answer) *links and wrong answers will be reorted*
scZoUnD [109]

Answer:

Volume of cuboid = 300 in³

Surface area of cuboid = 280 in²

Step-by-step explanation:

Given:

Length = 10 in

Width = 5 in

Height = 6 in

Find:

Volume of cuboid

Surface area of cuboid

Computation:

Volume of cuboid = [L][B][H]

Volume of cuboid = [10][5][6]

Volume of cuboid = 300 in³

Surface area of cuboid = 2[lb][bh][hl]

Surface area of cuboid = 2[(10)(5) + (5)(6) + (6)(10)]

Surface area of cuboid = 2[50 + 30 + 60]

Surface area of cuboid = 2[140]

Surface area of cuboid = 280 in²

4 0
3 years ago
What is the area of 4 1/2 feet wide and 6 1/2 feet long
Vaselesa [24]

Answer: 29 1/4

Step-by-step explanation:

Multiply and simplify to 29 1/4

6 0
3 years ago
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x)
Sergeeva-Olga [200]

Answer:

(f+g)(x)=f(x)+g(x)

=(-3x-5)+(4x-2)

= -3x-5+4x-2. collect like term

= -3x+4x-5-2

= x-7. the final answer

8 0
2 years ago
Please help me
Furkat [3]
9x^3-39x^2-38x+40=(3x-2)(3x+4)(x-5) by synthetic division
Thus roots are -4/3, 2/3, 5
8 0
2 years ago
Hunter has 56 chocolate bars. He wants to share them evenly with his 7 friends. How many chocolate bars will Hunter and his frie
dolphi86 [110]

Answer:

8 chocolate bars

Step-by-step explanation:

56 / 7 = 8

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3 0
3 years ago
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