Simplify the expression. 1. (2z³)³

Simplify the expression.
2. (-8ab)²

Simplify the expression.
3. 6 (x³)²

Answers

Answer 1

Answer: 2^3z^9
A for question 1=8z^9

(-8ab)^2
(-8^2a^2b^2)
A for question 2=64a^2b^2

6 (x^3)^2
6 x^6
6x^6

Enjoy!=)

Answer 2

Answer: $1. (2z^3)^3=8 z^(9)$
$2. (-8ab)^2=64 a^(2) b^(2)$
$3. 6 (x^3)^2=6 x^(6)$

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What is the quotient of 32 divided by -4 as a fraction?

Answers

the neat part of dividing and putting them into fraction form is that you just put those two numbers together in a fraction

32/4(32 divided by 4)

however, this can be simplified into 8/1 or just 8 but the question asks us to state it as a fraction so you can either leave it as 32/4 or 8/1.

how do I find the area of an equilateral triangle given the perimeter of 60 and the height of 17.3 cm?

Answers

If perimeter is 60 so the side is 60 ÷ 3 = 20

Now we can apply the area formula for triangles;

$A=(1)/(2).b.h\n \n A=(1)/(2).20.17.3=10.17.3=173 \ cm^2$

When you use place value to exchange equal amounts when renaming number, what are you doing?

Answers

The correct answer for the given question above would be REGROUPING. When you use place value to exchange equal amounts when renaming number, you are regrouping. Hope this answer helps. Thank you for posting your question. Let me know when you need more help.

A boat travels 3,600 meters in 12 minutes what is the boat's speed

Answers

300 meters per minute or 5 meters per second

3,600 x 12 = 43200 because 3,600 x 12 = 43200 the answer is 43200

Peter is reading a 193-page book. He has read three pages more than one-fourth of the number of pages he hasn’t yet read. How many pages has he not yet read?

Answers

Let X be amount of pages that he has NOT yet read.
So he read (x/4+3) pages
Book has 193 pages. This means that x+(x/4+3)=193
x+(x/4+3)=193
5x/4+3=193
5x/4=190
x=190*4/5
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An ant has a mass of approximately 4 × 10–3 grams and an elephant has a mass of approximately 8 x 106 grams. How many times larger is the elephant's mass as compared to the ant's mass?

Answers

$2*10^(9)$ times larger is the elephant's mass as compared to the ant's mass.

Given that, the mass of an ant is approximately $4* 10^(-3)$ and the mass of an elephant is approximately $8*10^(6)$ .

We need to find how many times larger is the elephant's mass as compared to the ant's mass.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be the number of times the elephant's mass is larger than an ant's mass.

So, x=The elephant's mass/An ant's mass= $(8*10^(6))/(4* 10^(-3))$