MATHEMATICS MIDDLE SCHOOL

Simplify each expression so that no negative exponents appear in the final result. Assume that all variables represent nonzero numbers.

Answers

Answer 1

Answer:

$((2p)/(q^(2))) ^(3) ((3p^(4))/(q^(-4)))^(-1)$ Multiply the outside exponent into each

$((2p^(3))/(q^(6)) )((3p^(-4))/(q^(4)) )$ Multiply together

$(6p^(-1))/(q^(10)) = (1)/(q^(10)6p^(1))$

When you multiply an exponent DIRECTLY into another variable(with an exponent), you multiply the exponents.

For example:

(x²)³ = $x^(6)$

$(x^(4))^(5) = x^(20)$

When you multiply a variable with an exponent into another variable with an exponent, you add the exponents.

For example:

$(x^(2) )(x^(3) )=x^(5)$

$(x^(1) )(x^(3)) = x^(4)$

First I multiplied the outside exponents into the numerator and the denominator.

When you have a negative exponent, you move it onto the other side of the fraction to make it positive.

For example:

$x^(-2) = (1)/(x^(2))$

$(x)/(y^(-1)) = x(y^1)$

$(1)/(y^(-2)) = y^2$

Sorry if this is confusing

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Which is greater 1/3 or 1/8

Answers

1/3= 0.333333

1/8=0.125

So definitely 1/3 is bigger.

1/3 is greater because it is equal to 0.33333......
1/8 is equal to 0.125. :D

the track at east side high school is 440 yards long it took maya 10 min to jog around the track 4 times. find her speed in miles per hour.

Answers

her speed i think is 40 miles per hour

The answer is 6 miles per hour

The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height? Show the work

Answers

544 I don't know I guess

How many quarts is 2.5 gallons

Answers

2.5 gallons
how many quarts?

1 gallon = 4 quarts

Make proportions:
$(1)/(4)$ = $(2.5)/(q)$
2.5 × 4 = 1q
10 quarts = q

2.5 gallons = 10 quarts

The answer would be: 10 quarts

How many times does 25 go into 10,000

Answers

basically what is 10,000/25
one way to do this is
we know that 100/25=4 so
100 times x=10,000
divide by 100
x=100
100 goes into 10,000, 100 times
so therefor the answer is 4 times 100 which is 400 or

factor since
4/8=1/2 because 1/2 times 4/4=1/2 times 1/1=1/2

so 10,000=2 times 2 times 2 times 2 times 5 times 5 times 5 times 5
25=5 times 5 times 1
10000/25=(2*2*2*2*5*5*5*5)/(5*5)=(2*2*2*2*5*5)/1 times (5*5)/(5*5)=400/1 times 1/1=400

400 times!!!
hope i helped!

the baker sends all his bread to one store if he can pack up to 15 loaves of bread in a box for shipping what is the minimum number of boxes required to ship all the loaves baked in two weeks also the amount of bread is 24

Answers

minimum is 2 boxes.because,15 loaves of bread in one box so 24 loaves in 2 boxes.

I think the answer is 2, but it seems too simple to be 2. 2 is my answer

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