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dimaraw [331]
3 years ago
11

Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFr

action? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction

Mathematics
2 answers:
Pie3 years ago
8 0

Answer:

D. = \frac{b}{a}

Step-by-step explanation:

Given:

\frac{b^{-2}}{ab^{-3}}

Required:

Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.

SOLUTION:

\frac{b^{-2}}{ab^{-3}}

Recall the exponent rule =>  \frac{x^{a}}{x^{b}} = x^{a - b}

Applying the exponent rule, we would have:

\frac{b^{-2 -(-3)}}{a}

= \frac{b^{-2 + 3}}{a}

= \frac{b^{1}}{a}

= \frac{b}{a}

Thus, the equivalent expression of \frac{b^{-2}}{ab^{-3}} = \frac{b}{a}

ehidna [41]3 years ago
6 0

Answer:

d

Step-by-step explanation:

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G(x)=− 4 x 2 ​ +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, start superscript, 2, end superscr
steposvetlana [31]
For this case, what we should do is evaluate the function for different points within the range shown.
 We then have the following table:
 x      g(x) 
 -2    -9
 -1     3
  0     7
  1     3
  2    -9
  3    -29
  4    -57
 From where we observed that the average rate of change is:
 -13
 Answer:
 
the average rate of change of g over the interval [-2,4] is:
 
-13
4 0
4 years ago
Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor
worty [1.4K]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

As previously the number was squared, so the number before $81$ must be $9$.

3 0
3 years ago
2+2 Ahhhh im failing math
guajiro [1.7K]

Answer:

It’s 2000

Step-by-step explanation:

Buttttt if u want to get an A plus put 222222222222222222

8 0
3 years ago
Read 2 more answers
What is the circumference of this circle.
vichka [17]

Answer:

24

Step-by-step explanation:

24 I think I don't remember

3 0
3 years ago
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Angie and kenny play online video games. Angie biys 1 software package and 4 months of game play. Kenny buys 1 software package
Elenna [48]

Answer:

1 month of game play will cost $12

Step-by-step explanation:

Here in this question, we are interested in calculating the cost of one month of game play.

From the question, we know the following;

Angie bought 1 software package and 4 months of game play

while

Kenny bought 1 software package and 1 month of game play.

The total packages and months bought will be;

2 packages and 5 months of game play

From the question, we are told that 1 month of game play is $35, so 2 months of game play will be 2 * $35 = $70

So the amount remaining for the 5 months will be; $130 - $70 = $60

So if 5 months cost $60, it means one month will be $60/5 = $12

8 0
3 years ago
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