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zimovet [89]
3 years ago
11

Match the expression to the exponent property that you use first to simplify the expression.

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Step-by-step explanation:

\dfrac{a^m}{a^n}=a^{m-n}\to\dfrac{h^\frac{3}{2}}{h^\frac{4}{3}}=h^{\frac{3}{2}-\frac{4}{3}}=h^{\frac{(3)(3)}{(2)(3)}-\frac{(2)(4)}{(2)(3)}}=h^{\frac{9}{6}-\frac{8}{6}}=h^{\frac{1}{6}}\\\\(a^m)^n=a^{mn}\to\bigg(p^\frac{1}{4}\bigg)^\frac{2}{3}=p^{\left(\frac{1}{4}\right)\left(\frac{2}{3}\right)}=p^\frac{2}{12}=p^\frac{1}{6}\\\\a^m\cdot a^n=a^{m+n}\to z^\frac{3}{4}\times z^\frac{5}{6}=z^{\frac{3}{4}+\frac{5}{6}}=z^{\frac{(3)(3)}{(4)(3)}+\frac{(5)(2)}{(6)(2)}}=z^{\frac{9}{12}+\frac{10}{12}}=z^\frac{19}{12}

\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\to\bigg(\dfrac{x^2}{y}\bigg)^\frac{1}{3}=\dfrac{\left(x^2\right)^\frac{1}{3}}{y^\frac{1}{3}}=\dfrac{x^{(2)\left(\frac{1}{3}\right)}}{y^\frac{1}{3}}=\dfrac{x^\frac{2}{3}}{y^\frac{1}{3}}

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What is the perimeter
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The answer to your question is:  letter D

Step-by-step explanation:

First we need to find the distances between the points,

distance AB = 8       get it just by counting the points in the graph

distance AC = 9       get it just by counting the points in the graph

To know the distance BC, use the pythagorean theorem

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Liam is setting chairs for meeting he arranges chairs in 5 rows of the same length he has 3 chairs left over if he arranges the
Rina8888 [55]

Answer:

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Step-by-step explanation:

Data

5 rows- 3 chairs left over

3 rows - 21 chairs left over

Process

1.- Write two equations each for each situation

x = number of rows

y = number of chairs

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2.- Solve the system by equality

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3.- Find the total number of chairs

y = 5(9)+ 3                         y = 3(9) + 21

y = 45 + 3                          y = 27 + 21

y = 48                                y = 48

4.- Conclusion

There are 48 chairs        

8 0
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