What is the simplified form of the expression? (b/7)^2

Answers

Answer 1
Answer:

Answer:

The simplified form is \cfrac{b^2}{49}.

Step-by-step explanation:

The goal of the exercise is to apply exponent properties. On this case we need to distribute the exponent to each expression of the fraction, that is to the numerator and to the denominator, using the distribution exponent property.

\[\left( \cfrac{a}{b}\right)^n= \cfrac{a^n}{b^n}\]

In a general way we can always distribute exponents over multiplication or division.

Simplifying using exponent distribution property.

Applying the property to the exercise give us

\left(\cfrac{b}{7}\right)^2 =\cfrac{b^2}{7^2}

Lastly we know that 7^2 =49 so we get

\left(\cfrac{b}{7}\right)^2 =\cfrac{b^2}{49}

And that is the simplified form of the given expression.

Answer 2
Answer: (b/7)^2=(b/7)(b/7)=(b^2)/(49)

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Answers

Answer:

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Step-by-step explanation:

Just switch them

Use a calculator to evaluate csc 3pi/14

Answers

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186 + k = (0 + 358) + 186

Answers

Answer:

k = 358

Step-by-step explanation:

186+k=544

k=544-186

k=358

Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.A -3.5 F
B 5 F
C 1.5 F
D -0.5
E -2 F
the rest of the choices 2.5 and -4

Answers

Answer: I would have to go with e because it is the closest because it is -2 and if it were to get to zero it wouldn't take that long.

Step-by-step explanation:

The equation of the line that passes through points (0, negative 7) and (2, negative 1) is shown below. What value is missing from the equation?

Answers

Answer:

3

Step-by-step explanation:

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You sell pies at a farmers' market for $7.50 each. Five people want to share a pie by splitting the cost equally. How much will each of them need to pay to buy a whole pie together?

Answers

Answer:

Each of them need to pay to buy a whole pie together = $1.50

Step-by-step explanation:

Unit rates defined as the rates are expressed as a quantity of 1, such as 7 feet per second or 9 miles per hour, they are called unit rates.

As per the statement: You sell pies at a farmers' market for $7.50 each.

⇒ Cost of each pie = $7.50

Also, five people want to share a pie by splitting the cost equally.

Number of people = 5

then, by definition of unit rate;

unit rate per people = (Cost of whole pie)/(Number of people) = (7.50)/(5) = \$1.50

Therefore, $1.50 will each of them need to pay to buy a whole pie together.