MATHEMATICS HIGH SCHOOL

Simplify fully
a) 8c²d^5 ÷ 2c³d³
b) 9a³b^5 ÷ 3ab²

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

In exponent division, if base are same , subtract the exponents.

(a^(m))/(a^(n))=a^(m-n) , m>n\n\n (a^(m))/(a^(n))= (1)/(a^(n-m)), m<n

a) 8c²d⁵ ÷ 2c³d³ = (8)/(2)* (d^(5-3))/(c^(3-2))= 4*(d^(2))/(c)= (4d^(2))/(c)

b) 9a³b⁵ ÷ 3ab² = (9)/(3)* a^(3-1)*b^(5-2) = 3a^(2)b^(3)
Answer 2
Answer:

Answer:

A) 8d^2/3c

B) 3a^2b^3

Step-by-step explanation:

Related Questions

Please help I don't understand this
URGENT! PLEASE HELP!if the train from milan, italy to rome, italy takes 6 hours at a speed of 130 mph, how many miles from milan is rome?
What is 34/51 in its simplest form
Express this number in scientific notation.245,600,000,000plzzzzz hurry!
1.What is the value of p – (–3.5) when p = 8.2?

What is pie the equivalent to?

Answers

3.14159265358979323846
Or just 3.14

2X + 2 wht is the value of X

Answers

Ultimately, it is impossible to solve an equation without two sides. If it was 2X=2, the answer would be X=1. But if it was 2X+2=0, the answer would be X=-1. The information given is impossible to work with,

Ples help meeeeeeeee

Answers

Answer:

6610

Step-by-step explanation:

Move the decimal 2 spots to the right and add 2 zeros more behind the 528.8

so its becomes 8 divide what that number is

Answer:

See attached image for calculations.

Step-by-step explanation:

To make the calculation easier, we multiply both dividend and divisor by 100 to work with whole numbers, thus

528.8/0.08 = 52880 / 8

See attached image for details.

What has for congruent sides?

Answers

Every square and rhombus has, and any other polygon
with more than four sides may have.

Also, many shipping and packing cartons and crates have.

Find the derivative of f(x) = 4 divided by x at x = 2.

Answers

Hello!

The answer is:

f'(2)=-1

Why?

To solve this problem, first we need to derivate the given function, and then, evaluate the derivated function with x equal to 2.

The given function is:

f(x)=(4)/(x)

It's a quotient, so, we need to use the following formula to derivate it:

f'(x)=(d)/(dx)((u)/(v)) =(v*u'-u*v')/(v^(2) )

Then, of the given function we have that:

u=4\nv=x

So, derivating we have:

f'(x)=(d)/(dx)((4)/(x)) =(x*(4)'-4*(x)')/(x^(2) )

f'(x)=(d)/(dx)((4)/(x)) =(x*0-4*1)/(x^(2) )

f'(x)=(d)/(dx)((4)/(x)) =(0-4)/(x^(2) )

f'(x)=(d)/(dx)((4)/(x)) =(-4)/(x^(2) )

Hence,

f'(x)=(d)/(dx)((4)/(x)) =(-4)/(x^(2) )

Now, evaluating with x equal to 2, we have:

f'(2)=(-4)/((2)^(2) )

f'(2)=(-4)/(4)

f'(2)=-1

Therefore, the answer is:

f'(2)=-1

Have a nice day!

ANSWER

f'(2) = -1

EXPLANATION

The given function is

f(x) = (4)/(x)

Recall that:

\frac{c}{ {a}^( m) } = c {a}^( - m)

We rewrite the given function using this rule to obtain,

f(x) = 4 {x}^( - 1)

Recall again that,

If

f(x)= a {x}^(n)

then

f'(x)=n a {x}^(n - 1)

We differentiate using the power rule to obtain,

f'(x) = - 1 * 4 {x}^( - 1 - 1)

f'(x) = - 4 {x}^( - 2)

We rewrite as positive index to obtain,

f'(x) = - \frac{4}{ {x}^(2) }

We plug in x=2 to obtain,

f'(2) = - \frac{4}{ { (2)}^(2) } = - (4)/(4) = - 1

©Brian invests £1300 into his bank account.
He receives 10% per year simple interest.
How much will Brian have after 3 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:I believe it’s £1690

Step-by-step explanation:

10%of 1300=£130

130 multiplied by 3 =390

1300+390=£1690

Answer:

3000

Step-by-step explanation:
Other Questions
Help!!!!!!!!!!!!!!!!!!!!!
Y=40+90x what is the meaning
How do you solve: x-y=3 x-y=7
What's the value of log2 (1/8) ?