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BlackZzzverrR [31]
3 years ago
8

Simplify (4ab^2)^3 Any help is appreciated

Mathematics
1 answer:
Pie3 years ago
3 0

Answer:

64a^{3} b^{6}

Step-by-step explanation:

1) Distribute the exponent outside of the parentheses to the terms inside the parentheses. In this case, multiply the 3 outside the parentheses with the exponent of each of the terms inside:

(4ab^{2} )^3

4^{3} · a^{3} · b^{6}

2) The variables are fine - you can't simplify them further. All you need to do now is multiply the 4^{3} out. Remember that it's kind of like asking, "what is 4 × 4 ×4?"

4 · 4 · 4 · a^{3} · b^{6}

16 · 4 · a^{3} · b^{6}

64a^{3} b^{6}

Therefore, 64a^{3} b^{6} is the answer.

You might be interested in
The table represents the function f (x) = 3x-1
Ann [662]

Answer:

a=-16, b=11, c=23

Step-by-step explanation:

The function whose table is drawn is

f(x) = 3x - 1

To find the value of a, we substitute x=-5.

f( - 5) = 3( - 5)  - 1  \\ f( - 5) =  - 15 - 1 \\ f( - 5) =  - 16

\therefore \: a =  - 16

To find the value of b, we substitute x=4.

f(4) =3(4)  - 1  \\ f(4) = 12 - 1 \\ f(4) =  11

To find the value of c, we substitute x=8,

f(8) = 3(8) - 1 \\ f(8) = 24 - 1 \\ f(8) = 23

c = 23

8 0
3 years ago
Write a piecewise-defined function that represents the graph?
kodGreya [7K]

Answer:

f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5

Step-by-step explanation:

The equation of one line is y = x

The equation of the other line is y = 3x - 3

Altogether,

f(x) = { x, -5 ≤ x < 0 and 3x - 3, 1 ≤ x < 5

4 0
3 years ago
The domain for f(x) and g(x) is the set of all real numbers.
bija089 [108]
I am currently dong the same thing, if you go to symbolab.com then im pretty sure you'll be helped. ;)
3 0
3 years ago
Read 2 more answers
Can someone please help me on 3,4, and 5
alexandr1967 [171]
A=45 b=60 c=90 I think
8 0
3 years ago
Read 2 more answers
Helppppppppp please:)
OlgaM077 [116]

Step-by-step explanation:

Thr triangles are similar if any two sides are proportional.

In this, we cannot see any proportional sides, like

DU should be proportional to UT, it is not.

SU should be equal to UE ,it is not.

So, The triangles are not similar.

Hope it helps :)

3 0
3 years ago
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