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GuDViN [60]
2 years ago
14

Use the distributive property to simplify the expression.

Mathematics
1 answer:
horrorfan [7]2 years ago
5 0

\huge\mathbb{ \underline{SOLUTION :}}

<h3>Given:</h3>
  • \bold{-6(2^2+3)-2(1^2-2)}

\\

The \mathrm{distributive \: property} states that an expression that is given in the form of \small\sf{ A(B + C)} can be solved as \small\sf{A \times (B + C) = AB + AC} . So:

\small\longrightarrow\sf{-24-18-2+4}

\small\longrightarrow\sf{-42+2}

▪ \large\tt{All \:  \: options \: \: are \: \: wrong}

\\

\huge \mathbb{ \underline{ANSWER:}}

\small\longrightarrow\sf{−6 (2^2+3) − 2 (1^2 - 2) = \underline{-6(4+3)}}

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Answer:

<em>8 C sometimes</em>

<em>9 64x^8 y^11</em>

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Step-by-step explanation:

<u>Algebraic Operations </u>

Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:

\displaystyle \left(\frac{x^n.y^m}{z^p}\right)^q= \frac{x^{qn}.y^{qm}}{z^{qp}}

\displaystyle \frac{x^n.x^q}{x^p}= x^{n+q-p}

\displaystyle x^{-n}=\frac{1}{x^n}

Let's face the questions at hand

8. A number is raised to a negative exponent is negative?

Following the expressions recalled above, let's pick the expression

\displaystyle 3^{-2}=\frac{1}{3^2}=\frac{1}{9}

This is a negative power resulting in a positive number

Now we pick

\displaystyle (-2)^{-3}=\frac{1}{(-2)^3}=-\frac{1}{8}

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result

<em>Answer: C sometimes </em>

9 simplify(4xy^2)^3(xy)^5

(4xy^2)^3(xy)^5=4^3x^3(y^2)^3x^5y^5

=64x^3y^6x^5y^5

=64x^8y^{11}

10 simplify(2t^-3)^3(0.4r)^2

(2t^{-3})^3(0.4r)^2=2^3(t^{-3})^30.4^2r^2

=8t^{-9} 0.16 r^2

=1.28t^{-9} r^2

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7 0
3 years ago
Which of the following is an example of scale?
Elena-2011 [213]

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Step-by-step explanation:

In this problem, we need to find an example that is a scale.

There must be a relation between two units.

There are many types of units of lengths. These can be metre, cm, mm, foot, inches.

The relation between inch and foot is given by :

1 foot = 12 inch

So, we can say there are 12 inches in 1 foot.

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andrew-mc [135]

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Step-by-step explanation:

This is a scientific notation problem.

When a number is followed by a 10^{-1}, it means that said number has one zero at the beginning.

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Answer:

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