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antiseptic1488 [7]
3 years ago
7

How do you Simplify :(2p^-3)^5

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Answer:

The final simplification is (32p^-15).

Step-by-step explanation:

Given:

(2p^-3)^5 we have to simplify.

Property to be used:(Power rule)

Power rule states that: (a^x)^y=a^x^y ...the exponents were multiplied.

Using power rule.

We have,

⇒(2p^-3)^5          

⇒(2^5)(p^-3^*5)     ...taking exponents individually.

⇒32(p^-^1^5)         ...2^5=2*2*2*2*2=32

⇒32p^-^1^5

So our final values are 32p^-15

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Find y when x equals 15 if y equals 6 when x equals 30
soldier1979 [14.2K]

X=15 and Y=?

X=30 and Y=6

By rule of three

15x6/30 = 3

The answer is Y=3
6 0
3 years ago
I need help on these what is 5=g-8
Levart [38]
The answer is g=13 I hope this helped
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ULT ma<br> 4. Write an expression, then evaluate.<br> a. 1/4of the sum of 18 and 6
OlgaM077 [116]

Answer: Required expression: \dfrac14\times(18+16)

Result: \dfrac{17}{2}

Step-by-step explanation:

Given phrase:  " \dfrac14\text{ of the sum of } 18\text{ and }6. "

Required expression: \dfrac14\times(18+16)    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

\dfrac14\times(18+16)=\dfrac14\times34  \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}

Hence,     \dfrac14\times(18+16)=\dfrac{17}{2}.  

8 0
3 years ago
which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?
luda_lava [24]

Answer:

y=-2x+12

Step-by-step explanation:

To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. If the equation has an x-intercept of 6 then the line passes through the point (6,0). Use (6,0) and (4,4) in the formula.

m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{4-6} =\frac{4}{-2} =-2

Since m = -2, substitute its value and the point (6,0) into the point slope form. Then simplify.

y-y_1 = m(x-x_1)\\y-0 = -2 (x-6)\\y=-2x+12

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Identify a number that results in a 4-digit-number when 156,350 is subtracted from it
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160,000 - 156,350 =3,650

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