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jenyasd209 [6]
3 years ago
14

Which of the following is a step in simplifying the expression-

Mathematics
2 answers:
Vladimir [108]3 years ago
8 0
The correct answer would be C
bonufazy [111]3 years ago
5 0

Solution:

The Expression containing variables raised to power i.e Radicals means combination of base and Exponent is

\frac{(x y^{4})^{-3}}{(x^{-5} y^{5})^{?}}

As while solving these kind of problems, keep in mind the following radical rules:

1. (a^m)^{n}=a^{mn}\\\\2.(ab)^{m}=a^mb^n\\\\3.(a^{m})^{-n}=a^{-mn}

\frac{(x y^{4})^{-3}}{(x^{-5} y^{5})^{?}}

 = \frac{x^{-3}y^{-12}}{(x^{-5}y^{5})^{?}}

So, the first step is in simplifying the expression is Option  B which is →→x to the power of negative 3 multiplied by y to the power of negative 12, the whole over x to the power of negative 5 multiplied by y to the power of 5.

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nikdorinn [45]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Which numbers are perfect squares? Check all that apply.
Andrew [12]

A perfect square is a number made by squaring a whole number.

Since

  • 1^2=1;
  • 4^2=16;
  • 10^2=100,

numbers 1, 16, 100 are perfect squares. You cannot find such whole number n, that

  • 2=n^2;
  • 18=n^2;
  • 32=n^2;
  • 44=n^2;
  • 94=n^2,

therefore, numbers 2, 18, 32, 44, 94 are not perfect squares.

Answer: 1, 16, 100.

4 0
3 years ago
Read 2 more answers
What is the factored form of the polynomial? X^2 -12+27?
Natali5045456 [20]

Answer:

(x-9)(x-3)

Step-by-step explanation:

Look to the number on the right, 27, and list out the factors. (1 and 27, 3 and 9, -1 and -27, -3 and -9)

Next, find the factors that would equal the middle number, -12, when added. -3 and -9 add to -12. Therefore, choose these numbers and put them in the form (x-9)(x-3).

5 0
3 years ago
Find next number of 32,1312,11131112,31133112
Ede4ka [16]

Answer:

The next number is 1321232112

Step-by-step explanation:

32 is read off as "one 3, one 2" = 1312

1312 is read off as "one 1, one 3, one 1, one 2" = 11131112

11131112 is read off as "three 1s, one 3, three 1s, one 2" = 31133112

31133112 is read off as "one 3, two 1s, two 3s, two 1s, one 2" = 1321232112

6 0
3 years ago
Val has a piece of wood 8 ft long. She is going to cut it into 9 equal-length pieces.
Semenov [28]
Each piece will be 1/9 of the total length of the original board.

1/9 of 8 ft is <em>8/9 foot</em>.

That's the same as <em>(10 and 2/3) inches</em>.
5 0
3 years ago
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