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Aleksandr [31]
3 years ago
8

Simplify (5n^4)^−3. Assume n ≠ 0.

Mathematics
1 answer:
tekilochka [14]3 years ago
6 0
Since the exponent (-3) is negative, flip the expression to: 1/(5n^4)^3.

Notice how the negative exponent becomes positive as you flip it.

Now evaluate the powers in the denominator: 1/((5^3)(n^4)^3

I separated the constant (5) from the variable (n) to show you how the powers are evaluated.

1/(5x5x5)(nxnxnxn)(nxnxnxn)(nxnxnxn)
—-> the power four means that there are 4 multiples of n in the parentheses. The power 3 corresponds to how many groups.

1/(125)(n^12)

= 1/125n^12
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Find the radius of a circle whose area is 576π m²
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Answer:

r = 24 m

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here A = 576π , then

πr² = 576π ( divide both sides by π )

r² = 576 ( take the square root of both sides )

r = \sqrt{576} = 24

7 0
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Which table shows a function that is decreasing over the interval (-2, 0)?
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Step-by-step explanation:

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2 years ago
Point AA is located at (5,-6)(5,−6) on the coordinate plane. Point AA is reflected over the xx-axis to create point A'A ′ . What
Free_Kalibri [48]

Answer: (5, 6)

Step-by-step explanation:

   The trick to reflect points over the x -axis is (x, y) to (x, -y). In other words, the x value will stay the same and we will change the sign of the y value.

(5, -6) -> (5, 6)

      The ordered pair to describe A'A' should be (5, 6).

6 0
1 year ago
Please help quickly needed !<br> thank you !
Dmitrij [34]

\Huge{\underline{\underline{\sf{\green{Answer:}}}}}

a) 2 (5x-3) = 24

= 10x -6 = 24

= 10x = 24+6

= 10x = 30

= x= 30/10

\boxed{\sf{x = 3}}

b) 5 (2x+1) = 50

= 10x+5=50

= 10x = 50-5

= 10x = 45

= x = 45/10

\boxed{\sf{x = 4.5}}

c) (3x+4)/2=9.5

= (3x+4)/2=95/10

( On cross multiplication )

= 10(3x+4) = 2×95

= 30x+40=190

= 30x=190-40

= 30x=150

= x=150/30

(on simplification)

\boxed{\sf{x = 5}}

d) (7+2x)/3=5

(On cross multiplication)

= 1(7+2x)=5(3)

= 7+2x=15

= 2x=15-7

= 2x=8

= x=8/2

(on dividing)

\boxed{\sf{x = 4}}

3 0
3 years ago
What is the y intercept of 3x62-6x+21=0
TiliK225 [7]

Answer:

(0, 207)

Step-by-step explanation:

We calculate y-intercept by substituting 0 for x.

The equation becomes:

3*62-6*(0)+21=207

y intercept is (0, 207)

3 0
3 years ago
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