Marina correctly simplified the expression (-4a^-2 b^4)/(8a^-6b^-3) assuming that a does not equal 0 and b does not equal 0. Her simplified expression is below. -1/2a^4b^ The exponent of the variable b in Marina’s solution should be...
Solution 1
(-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)
We can rewrite the expression using properties of exponents.
We have then:
(-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))
Rewriting we have:
(-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))
(-1/2) * ((a ^ 4) (b ^ 7))
-1 / 2a ^ 4b ^ 7
Answer:
The exponent of the variable b in Marina's solution should be 7
Solution 2
Answer:
7 is correct!
Step-by-step explanation:
hope that this helps. Peace and Love
📚 Related Questions
If you simplify 10/12 but the greatest common factor of 10 and 12, which is 2, you get the answer of 5/6. Now if you multiple 5/6 by two, you get 10/12. Either way, both fractions are clearly equivalent.
Answer:
c
Step-by-step explanation:
Remove the brackets:
Combine like terms:
Take out common factor 3:
Factorise (x² - 1):
The value of the jackpot at the end of the 16-game season will be $10,000.
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The jackpot prize starts at $2500 for the first game and increases by $500 for each game if there is no winner.
For the second game,
The prize will be $2500 + $500 = $3000.
For the third game,
The prize will be $3000 + $500 = $3500.
Continuing in this pattern, the prize for the 16th game will be:
$2500 + ($500 × 15)
= $2500 + $7500
= $10000
Therefore,
The value of the jackpot at the end of the 16-game season will be $10,000.
Learn more about expressions here:
#SPJ3
y=6x+4 and y=5x+8
From there you would go to Desmos.com and find out. The answer is 4,28.
This means it's the fourth term and the number is 28.
h = -16t ^ 2 + 184t + 20
Deriving we have:
h '= -32t + 184
We equal zero and clear t:
-32t + 184 = 0
32t = 184
t = 184/32
t = 5.75 s
Then, the maximum height is given by:
h (5.75) = -16 * (5.75) ^ 2 + 184 * (5.75) + 20
h (5.75) = 549 feet
Answer:
It takes the boulder to reach its maximum height about:
t = 5.75 s
the boulder's maximum hieght is:
h (5.75) = 549 feet
Answer:
The answer should be C.
h = -16t ^ 2 + 32t + 6
Deriving we have:
h '= -32t + 32
We equal zero and clear t:
-32t + 32 = 0
32t = 32
t = 32/32
t = 1 s
Then, the maximum height is given by:
h (1) = -16 * (1) ^ 2 + 32 * (1) + 6
h (1) = 22 feet
Answer:
It takes the ball to reach its maximum height about:
t = 1 s
The ball's maximum height is:
h (1) = 22 feet
We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.
Grant is rolling six sided number die. Hence, we can say that
Number of outcomes if rolled once = 6
Number of outcomes if rolled twice =
Number of outcomes if rolled thrice=
We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.
Hence, if rolled 8 times then we have an exponent 8 on 6.
Therefore, the possible number of outcomes should be
Hence, the number of possible outcomes is 1679616
There are 6 possible outcomes for each roll; 6^8 = 1679616