3 years ago

4^2/4^-7 as a single positive exponent

Mathematics

1 answer:

Marina86 [1]3 years ago

5 0

Answer:

4^7 or 4^2/4^7

Step-by-step explanation:

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The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli

ira [324]

Answer:

$\dfrac{40}{42}$

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

$\dfrac{x}{x+2}$

If both numerator and denominator are decreased by six, the fraction becomes:

$\dfrac{x-6}{x+2-6}$

The simplified result is $\dfrac{17}{18}$

Therefore:

$\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40$

Substituting x=40 into the initial fraction

$\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}$

Therefore, the original fraction is $\dfrac{40}{42}$

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Answer:

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Julius bought 3 games on sale. the original price of each game was "d" dollars. the expression 3(d - 0.2d) shows the total amoun

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Find the sum of 10 and -10.

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The circumference of a circle is 18.84 miles. What is the circle's radius? C=18.84

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We can find the radius by using the formula: C = 2(pi)(r)
We'll use 3.14 for pi.

And solve for r.

18.84 = 2(3.14)r ; Start
18.84 = 6.28r ; Multiply 3.14 by 2
3 = r ; Divide both sides by the coefficient of r. Which is 6.28

So, the radius is 3 miles.

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3 years ago

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