How would I solve these?

(-3xy)³ (-x³)

and

(-9b²a³)² (3³b)²

Answers

Answer 1

Answer: $(-9b^2a^3)^2 \cdot (3^3b)^2 = (-9)^2\cdot(b^2)^2 \cdot (a^3)^2 \cdot (3^3)^2\cdot (b)^2 = \n \n= 81\cdot b^4\cdot a^6 \cdot 3^6\cdot b ^2 = 3^4 \cdot a^6 \cdot b^4\cdot 3^6\cdot b ^2 =\n \n= 3^(4+6) \cdota^(6) \cdot b ^(4+2) = 3^(10) \cdot a^(6) \cdot b ^6$

Answer 2

Answer: $(-3xy)^3(-x^3)=(-3)^3x^3y^3\cdot(-x^3)=-27x^3y^3\cdot(-x^3)=27x^6y^3\n\n\n(-9b^2a^3)^2\cdot(3^3b^2)^2=(-3^2a^3b^2)^2\cdot(3^3b^2)^2=3^(2\cdot2)a^(3\cdot2)b^(2\cdot2)\cdot3^(3\cdot2)b^(2\cdot2)\n\n=3^4a^6b^4\cdot3^6b^4=3^(4+6)a^6b^(4+4)=3^(10)a^6b^8$

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HELP? (Simplify in radical form)

Answers

Answer: 12

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors.

16= -5+z/4
a. 69
b. -1
c. 9
d. 59

Answers

If you would like to solve the equation 16 = (- 5 + z) / 4, you can do this using the following steps:

16 = (- 5 + z) / 4 /*4
16 * 4 = - 5 + z
16 * 4 + 5 = z
z = 69

The correct result would be a. 69.

$16 = (-5+z)/(4)$

Multiply both sides by 4

$16* 4 = (-5+z)/(4) * 4$

$64 = -5+z$

Rearrange the terms

$64 = z - 5$

Add 5 on both sides.

$64 + 5 = z - 5 + 5$

$\boxed{\bf{z = 69}}$

Your final answer is a. 69.

What is the next term in the pattern shown below? 4.5, 9, 13.5, 18

Answers

The next term in the pattern is 22.5.

To find the next term in the pattern, it's essential to identify the underlying rule or mathematical operation that governs the progression of the given numbers.

In this case, we can observe that the sequence is increasing by a consistent difference of 4.5 between each consecutive term.

Starting from 4.5 and adding 4.5 successively, we get:

4.5 + 4.5 = 9

9 + 4.5 = 13.5

13.5 + 4.5 = 18

The next term would be:

18 + 4.5 = 22.5

So, the next term in the pattern is 22.5.

In this sequence, each term is obtained by adding 4.5 to the previous term, resulting in an arithmetic progression.

If you continue this pattern, you will keep adding 4.5 to each subsequent term to find the following numbers in the sequence.

For similar question on pattern.

brainly.com/question/28580633

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22.5

note that the difference (d ) between each term is

d = 9 - 4.5 = 13.5 - 9 = 18 - 13.5 = 4.5

to obtain the next term add 4.5

next term = 18 + 4.5 = 22.5

2 or more equal ratios for 7/16

Answers

this is a simple one just multiply the sides by the same number
14/32, 28/48

multiply both numerator and denominator by the same number.
14/32
21/48

If a square had a perimeter of 78.4. What is the length of each side

Answers

We know that all the sides of a square is Equal.
And we also know that a square has 4 sides.
So we take the measurement of the perimeter, which is 78.4 and divide it by 4, which is the number of sides.
to find the length of each side= $(78.4)/(4)$
= 19.6

In conclusion 19.6 units is the length of each side.
Note: if the unit of measurement is given(for e.g: in,m,cm...), we have to include it.
Quick Check: 19.6+19.6+19.6+19.6=78.4

72. What is the prime factorization of 714?F. 2 • 357
G. 2 • 3 • 119
H. 2 • 7 • 51
J. 6 • 7 • 17
K. 2 • 3 • 7 • 17