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2 years ago

Screenshot of the question attatched. please help me

Mathematics

1 answer:

Law Incorporation [45]2 years ago

5 0

<h2>Rules of Exponents</h2>

There are many rules that apply to operations involving exponents. In this question, we'll need the following:

<h3>The division rule</h3>

⇒ $\dfrac{a^n}{a^m}=a^{n-m}$

<h2>Solving the Question</h2>

We're given:

$z^{21}\div z^7=z^k$ (solve for k.)

⇒ Rewrite as a fraction:

$\dfrac{z^{21}}{z^7}=z^k$

⇒ Use the division rule:

$z^{21-7}=z^k\\z^{14}=z^k\\14=k$

Therefore, the value of <em>k</em> is 14.

<h2>Answer</h2>

<em>k</em> = 14

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Answer:

256

Step-by-step explanation:

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3 years ago

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3 years ago

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OverLord2011 [107]

Answer:

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Step-by-step explanation:

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Set up a proportion: $\frac{\frac{5}{2} }{4} = \frac{x}{10}$
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