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Karo-lina-s [1.5K]
3 years ago
9

Write the following expression using rational exponents. Vyt = y The numerator of the exponent is The denominator of the exponen

t is 7​
Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0
Square roots are most often written using a radical sign, like this, . But there is another way to represent the taking of a root. You can use rational exponents instead of a radical. A rational exponent is an exponent that is a fraction. For example, can be written as .

Can’t imagine raising a number to a rational exponent? They may be hard to get used to, but rational exponents can actually help simplify some problems. Let’s explore the relationship between rational (fractional) exponents and radicals.

Rewriting Radical Expressions Using Rational Exponents
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The area of a parallelogram is given by the formula A=bh the area of the parallelogram on the right is 126 sq units. Find its ba
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From the diagram we have

Base = 4x+1
Height = x+1

Area = Base × Height
126 = (4x+1)(x+1) ⇒ Expand the double bracket
126 = 4x^{2}+5x+1 ⇒ Subtract 126 both sides
0 = 4x^{2}+5x-125 ⇒ Factorise the quadratic expression
0 = (x-5)(4x+25) ⇒ Equating each factor to zero

x-5=0                       4x+25=0
x=5                           x=- \frac{25}{4}

We need the positive value of x so we use x=5

Height = 5+1 = 6
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4 years ago
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Answer:

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Step-by-step explanation:

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