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USPshnik [31]
3 years ago
6

Select the equivalent expression. (x^-3*y^3)^-7=? Choose 1 answer:

Mathematics
1 answer:
Zina [86]3 years ago
8 0

Answer:

The equivalent expression for this equation is x²¹ × y⁻²¹

Step-by-step explanation:

When you are multiplying exponents that are in parentheses, you multiply the exponential numbers together. So, for this problem, we will multiply the exponents together so we can get our final equivalent expression.

<em>(x⁻³ × y³)⁻⁷</em>

So, we will multiply -3 by -7 and we will also multiply 3 by -7 because those are our exponential numbers.

<em>x²¹ × y⁻²¹</em>

So, this is the final expression that is equivalent to our equation.

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What is the decimal equivalent of the fraction -68 / 255
garri49 [273]

This is just a calculator problem.

+/- This will turn 68 into a minus when you enter it. On some calculators it is the (-) key.

68

÷

255

=

-0.266666666 is what you should get.


5 0
2 years ago
What is the surface area of the box 12in ,4in and 3in
BabaBlast [244]
Which one is height, width, and length?
8 0
3 years ago
A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
Give an approximate value to the tenth of the angle IJK. Thanks so much!! need answer asap!! assignment due in 5 mins pls help!!
meriva

Answ, i just need 5 pts thanks!

Step-by-step explanation:

4 0
2 years ago
The algebraic expression of The sum of four times a number and -2 and six times a number and 3
riadik2000 [5.3K]

Hey!

The sum of four times a number and -2

Let us take the number as ' x '

( 4x - 2 )

Six times a number and 3

( 6x + 3 )

The sum = ( 4x - 2 ) + ( 6x + 3 )

Hope helps!

6 0
3 years ago
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