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trasher [3.6K]
2 years ago
7

How can the quotient of powers law be used to show that a negative exponent is equivalent to the reciprocal

Mathematics
1 answer:
Kay [80]2 years ago
8 0

Answer:Thus,  (-3)-4 = 1/(-3)4.

Step-by-step explanation:

Negative exponents have the following property:   n-m = 1/nm   OR   1/n-m = nm

So for  (-3)-4 ,  n= -3 and -m= -4 (or m= 4).

Thus,  (-3)-4 = 1/(-3)4.

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Given: <br><br>EM, EQ-secants<br><br>Prove: MP·EW=WQ·EP
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

A secant is a straight line from a point outside a given circle that passes through two points on its circumference.

From the given diagram, EM and EQ are secants.

Thus,

<PEW ≅ <WEP    (common angles)

<EMP ≅ <EQW (secant-chord theorem)

<WMP ≅ <PQM (inscribed angles of arc WP)

Therefore,

\frac{EW}{WM} = \frac{EP}{PQ}   (corresponding sides of a triangle)

This implies that,

EW*PQ = EP*WM

Therefore,

MP*EW = WQ*EP  (properties of a similar triangle)

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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m_a_m_a [10]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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3 years ago
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