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3 years ago

How to do a exponent with the negative base?

2 answers:

tatiyna3 years ago

3 0

Examples :
(-2)^3 = (-2)(-2)(-2) = - 8

(-3)^4 = (-3)(-3)(-3)(-3) = 81

(-1)^5 = (-1)(-1)(-1)(-1)(-1) = -1

** if the exponent is an even number, the answer will be positive. if the exponent is an odd number, then the answer will be negative

** but keep in mind....if the negative is not included with the base..
-(5^2) = - 25....but (-5^2) = 25

Sergeeva-Olga [200]3 years ago

3 0

Any number raised to a negative exponent could be written as follows:

a⁻ⁿ = 1/aⁿ

a⁻² = 1/a²

a⁻²³ = 1/a²³

a⁻ˣ = 1/aˣ

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Nicole runs a farm stand that sells bananas and peaches. Each pound of bananas sells for $2 and each pound of peaches sells for

stepan [7]

Answer:

The required system of equations is:

2x + 3.25y = 231.75

x = y + 3

where x is the number of pounds of bananas and y is the number of pounds of peaches

Explanation:

1- Defining the variables:

Assume that the number of pounds of bananas sold is x

Assume that the number of pounds of peaches sold is y

2- Setting the system of equations:

We are given that:

i. Each pound of bananas sells for $2

Money gained from selling x pounds of bananas is 2x

ii. Each pound of peach sells for $3.23

Money gained from selling y pounds of peaches is 3.25y

iii. Nicole made $231.75 in total. This means that:

2x + 3.25y = 231.75 .................> equation I

iv. Nicole sold 3 more pounds of bananas than pounds of peaches. This

means that:

pounds of bananas = pounds of peaches + 3

x = y + 3 ..................> equation II

3- Solving the equations (if required):

In equation II, we have: x = y + 3

Substitute with equation II in equation I and solve for y as follows:

2x + 3.25y = 231.75

2(y+3) + 3.25y = 231.75

2y + 6 + 3.25y = 231.75

5.25y = 231.75 - 6

5.25y = 225.75

y = 43

Substitute with y in equation II to get x:

x = y + 3

x = 43 + 3 = 46

Based on the above:

Number of pounds of bananas = x = 46 pounds

Number of pounds of peaches = y = 43 pounds

Hope this helps :)

4 0

3 years ago

Ellipsis a set of three dots at the end of a number used to indicate that the number will infinitely continue in the same patter

alexdok [17]

Answer:

Match the vocabulary words to the proper definition.

1. a decimal that ends

repeating decimal

2. a decimal whose digits to the right of the decimal point repeat indefinitely

terminating decimal

3. a set of three dots at the end of a number used to indicate that the number will infinitely continue in the same pattern

irrational number

4. a horizontal bar used in mathematical notation; in fractions, it is the bar that separates the numerator from the denominator; in repeating decimals, it indicates a group of repeating numbers

vinculum

5. a number that can be written as a ratio in fraction form

ellipsis

6. a number that, when in decimal form, does not terminate or repeat

rational number

Step-by-step explanation:

3 0

3 years ago

Which fraction (in simplest form) is equivalent to 0.03? A.3/100 B.3/10 C.1/3 D.1/30

bija089 [108]

It is (A). When removing decimal of 0.03 you will get = 3/100 so A is the correct answer.

3 0

3 years ago

For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive term

UkoKoshka [18]

Answer:

Option C.

Step-by-step explanation:

The given given sequence is

1, –3, 2, 5, –4, –6

We need to find the pairs of consecutive terms of the sequence and their product.

Pairs of consecutive terms | Product

1, -3 -3

-3, 2 -6

2, 5 10

5, -4 -20

-4, -6 24

Here the product of three pairs of consecutive terms is negative.

The number of variations in sign for the sequence is 3. Therefore, the correct option is C.

3 0

3 years ago

Could you form a triangle either side lengths of 1 inch 2 inch and 3 inch

BaLLatris [955]

Answer:

Step-by-step explanation:

No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in. For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.

4 0

3 years ago