2 years ago

Simplify the following expression and write it in an exponential function form.

Mathematics

1 answer:

Sergio039 [100]2 years ago

7 0

Answer:

1/4 b^9

Step-by-step explanation:

(b^11 b^-7)/4b^-5

We know x^y * x^z = x^(y+z)

b^11 * b^ -7 = b^ (11-7) = b^4

(b^11 b^-7)/4b^-5

b^4 / 4 b^-5

We know x^y / x^z = x^(y-z(

b^4 / b^-5 = b^(4 - -5) = b^(4+5) = b^9

1/4 b^9

You might be interested in

The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8,100 gallons of gas filled the station's

spin [16.1K]

Answer:

1300

Step-by-step explanation:

Let the amount put in the station's tank = x

4(400 + x) = 8100 - x Remove the brackets

1600 + 4x = 8100 - x Subtract 1600 from both sides

1600 - 1600 + 4x = 8100 - 1600 - x Do the subtraction

4x = 6500 - x Add x to both sides

4x + x = 6500 - x + x

5x = 6500 Divide by 5

5x/5 = 6500/5

x = 1300

1300 gallons were added to the station's tank.

3 0

2 years ago

Read 2 more answers

At a car garage there are 100 vehicles, 60 of which are cars, 30 are vans and the remainder are

zhannawk [14.2K]

Answer:

there are 10 of the other kind of cars

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Express 16 1/4in simplest radical form

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

${16}^{ \frac{1}{4} } \: can \: also \: be \: written \: as \: ( {{2}^{4})}^{ \frac{1}{4} }$

because ${2}^{4} = 16$

So,

${( {2}^{4} )}^{ \frac{1}{4} } = {(2)}^{4 \times \frac{1}{4} } = 2$

7 0

2 years ago

If u = 8 + 4i and v = 3i + 6, then what is u – v?

lozanna [386]

$u=8+4i\ and\ v=31+6\\\\u-v=(8+4i)-(3i+6)=8+4i-3i-6=(8-6)+(4i-3i)\\\\\huge\boxed{=2+i}\leftarrow \boxed{d}$

7 0

2 years ago

Evaluate 2•4-8 divided by 4

Vaselesa [24]

Answer:

Step-by-step explanation:

Answer and work are in picture below.

4 0

2 years ago