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Free_Kalibri [48]
3 years ago
13

Simplify the following expression: (4x2)2 • (3x3)3

Mathematics
2 answers:
Aneli [31]3 years ago
8 0

Answer:

432x¹³

Step-by-step explanation:

( 4x² ) ² • ( 3x³ ) ²

( 16x²)² • ( 27x³)²

16 x{}^{2 \times 2}  \times 6 {}^{3 \times 3 }  \\ 16x {}^{4}  \times27  {}^{9}

(16 \times 27)x {}^{4 + 9}

432x¹³

Umnica [9.8K]3 years ago
3 0

Answer:

432x^13

Step-by-step explanation:

(4x^2)^2 • (3x^3)^3

We know that a^b^c = a^(b*c)

4^2 x^2^2  * 3^3 x^3^3

16 x^4  * 27 x^9

We know that a^b ^ a^c = a^(b+c)

16*27 x^(4+9)

432x^13

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70.85

Step-by-step explanation:

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3 years ago
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7 0
3 years ago
What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Tr
Klio2033 [76]

Answer:

The equation of the line of reflection will be x = y.

Step-by-step explanation:

On a coordinate plane, triangle Δ ABC has points (6, 3.7), (5.4, 2), (1, 3). And triangle Δ A'B'C' has points (3.7, 6), (2, 5.4), (3, 1).

Now, Δ A'B'C' is the image triangle of Δ ABC and we have to find the equation of the line of reflection.

We know that after reflection of a point P(h,k) over the line x = y the image will be P'(k,h).

Same is happened in case of Δ ABC and Δ A'B'C'.

Therefore, the equation of the line of reflection will be x = y. (Answer)

3 0
4 years ago
Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) \pi + (-\pi) = 0

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

1 - 2 = -1

5 - 5 = 0

\frac{1}{2} - \frac{1}{4} = \frac{1}{2}

4 - 2 = 2

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

a -b = c

Where

a, b, c are of the same set.

In the given options (a) to (d), only

\pi + (-\pi) = 0 is not close under addition because:

\pi is irrational while 0 is rational

<em>In other words, they belong to different set</em>

8 0
3 years ago
A number is multiplied by 3,and 7 is added to it to get the result 25.Find the number.
german

Answer:

6

Step-by-step explanation:

25-7=18 18/3= 6.

6x3= 18 18+7= 25

THE ANSWER IS 6

4 0
3 years ago
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