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Marianna [84]
1 year ago
6

(y^3/2 x^-1/2)^4 Use the properties of exponents

Mathematics
1 answer:
Zolol [24]1 year ago
6 0

Using the properties of exponents, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)

<h3>Evaluating an expression </h3>

From the question, we are to evaluate the given expression

The given expression is

(y^3/2 x^-1/2)^4

Using the properties of exponents, we can simplify the expression as shown below

(y^3/2 x^-1/2)^4

[y^(3/2×4) x^(-1/2×4)]

[y^(12/2) x^(-4/2)]

(y^6 x^-2)

OR

(y⁶ x⁻²)

Hence, the simplified form of the expression is (y^6 x^-2) OR (y⁶ x⁻²)

Learn more on Evaluating an expression here: brainly.com/question/1403904

#SPJ1

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What is the formula for the nth term of the given sequence 100, 20, 4, …
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Answer:

a_n=100 \left(\dfrac15\right)^{n-1}

Step-by-step explanation:

General equation of geometric sequence:  a_n=ar^{n-1}

Given:

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\implies a_1=a=100

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Common ratio:

r=\dfrac{a_3}{a_2}=\dfrac{4}{20}=\dfrac15

Therefore:

a_n=100 \left(\dfrac15\right)^{n-1}

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