All categories

3 years ago

Simplify (5^3)^6 leaving your answer in index form

Mathematics

2 answers:

Verizon [17]3 years ago

5 0

$( {5}^{3} ) ^{6} = {5}^{3 \times 6} = {5}^{18}$

Temka [501]3 years ago

5 0

Answer:

5^18.

Step-by-step explanation:

By the law of indices:

(a^b)^c = a^(bc)

So (5^3)^6

= 5^(3*6)

= 5^18.

You might be interested in

Is one a prime number

Vinil7 [7]

Answer:

nope!

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

The statement “three non-collider points determine a plane” is an example of a

denis-greek [22]

Postulate is the answer

8 0

3 years ago

Fernando has been saving money to buy an e-book reader. A store has just marked down the price of its readers by 40%. Each reade

Amanda [17]

Answer:

$75

Step-by-step explanation:

Remove $25 from $150. (125)

Calculate 40% of 125. (50)

Remove that 40%. (75)

So...

150 - 25 = 125 - 50 = 75

3 0

3 years ago

Read 2 more answers

Factor completely 3ab − 5ax + 9b − 15x.

Alik [6]

Answer: The answers are given below.

Step-by-step explanation: We are given to factorise some quadratic expressions.

We will be using the following factorisation formula:

$x^2+ax+bx+ab=(x+a)(x+b).$

The factorisation is as follows:

We have

$(1)~3ab-5ax+9b-15x\\\\=a(3b-5x)+3(3b-5x)\\\\=(3b-5x)(a+3).$

Thus, option (B) $(3b-5x)(a+3)$ is correct.

$(2)~5x(x+3)+6(x+3)\\\\=(x+3)(5x+6).$

Thus, option (B) $(x+3)(5x+6)$ is correct.

$(3)~2cb+7cx+2b+7x\\\\=c(2b+7x)+1(2b+7x)\\\\=(2b+7x)(c+1).$

Thus, option (B) $(2b+7x)(c+1)$ is correct

$(4)~21x^3+35x^2+9x+15\\\\=7x^2(3x+5)+3(3x+5)\\\\=(3x+5)(7x^2+3).$

Thus, option (D) $(3x+5)(7x^2+3)$ is correct.

$(5)~9xy+36x-10y-40\\\\=9x(y+4)-10(y+4)=(y+4)(9x-10).$

Thus, option (C) $(y+4)(9x-10)$ is the correct option.

$(6)~14bx^2-7x^3-4b+2x\\\\=7x^2(2b-x)-2(2b-x)\\\\=(2b-x)(7x^2-2).$

Thus, option (B) $(2b-x)(7x^2-2)$ is the correct option.

$(7)~4xy+9x+24y+54\\\\=x(4y+9)+6(4y+9)\\\\=(4y+9)(x+6).$

Thus, option (D) $(4y+9)(x+6)$ is correct.

4 0

3 years ago

The Baldwin family walked four over five of a mile in four over nine of an hour. What is their unit rate in miles per hour? (5 p

ELEN [110]

Answer:

4/5 / 4/9 = 1 and 4/5 mph or B

Step-by-step explanation:

4/5 / 4/9

4/5 times 9/4 = 36/20

36/20 simplified = 9/5

9/5 = 1 and 4/5

6 0

3 years ago

Read 2 more answers