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4 years ago

Apply the properties of exponents to rewrite each expression in the form kxn, where nn is an integer and x ≠0

Mathematics

1 answer:

professor190 [17]4 years ago

4 0

Answer:

The expression will be $0.333x^{-2}$

Step-by-step explanation:

We have given expression $\frac{x^{-3}x^5}{3x^4}$

We know the property of exponent that when two function are divided then the power of exponent is subtracted and when there is multiplication of two function then exponent is added

So $\frac{x^{-3}x^5}{3x^4}=\frac{x^{2}}{3x^4}=0.333x^{-2}$

So the expression will be $0.333x^{-2}$

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Simplify the expression where possible.(-4 x^2 )^2

Oduvanchick [21]

Answer:

$16x^{4}$

Step-by-step explanation:

$(a^{m})^{n}=a^{m*n} \\\\\\$ and $(a*b)^{m}= a^{m}*b^{m}$

$(-4x^{2})^{2} = (-4)^{2} *(x^{2})^{2}\\\\\\=16 * x^{2*2}\\\\=16x^{4}$

6 0

4 years ago

Need help

Natalija [7]

The <u>Pie Chart</u> is the best type of chart that could be used to represent the distribution of this data.

<h3>What is a Pie Chart?</h3>

A pie chart is a type of circular statistical graph used for the representation of a data set. The graph's segments are proportionate to the percentage of the total in each group.

However, the proportion of each portion of the pie chart is proportional to the number of the group as a whole.

The full pie chart represents 100% of the whole, whereas
The pie portion represents sections of the total.

Therefore, from the given information contains many data sets, each data can be represented in each portion to make a full Pie Chart.

Learn more about Pie Chart here:

brainly.com/question/25796636

8 0

3 years ago

The smallest value in a data set is the _______________.

BaLLatris [955]

The smallest value in a data set is the A. minimum.

Maximum is the largest value.

Median the value that is in the middle. If you have even number of values, you need add 2 middle values and divide them by 2.

Range is the difference between the smallest and the largest values.

6 0

3 years ago

If line T is a transversal of lines I and m, name the angel relationship of the given angle pairs

kolbaska11 [484]

Answer:

a. corresponding angles (congruent)

b. alternate exterior angles (congruent)

c. same-side interior angles (supplementary)

Step-by-step explanation:

The vocabulary associated with angles created by a transversal and parallel lines is not so difficult.

If angles are on the same side of the transversal, they are <em>same-side</em> angles. If not, they are <em>alternate</em> angles.

If angles are between the parallel lines, they are <em>interior</em> angles. If not, they are <em>exterior</em> angles.

If the angles are in the same direction from the point of intersection of the transversal with the parallel line, they are <em>corresponding</em>. Corresponding angles are same-side; one is interior and the other is exterior.

These names generally apply to angles with different vertices.

a. Both angles are northwest of the intersection point; they are same-side, and one is interior and one is exterior. They are corresponding angles. (congruent)

b. The angles are on opposite sides of the transversal and are outside the parallel lines. They are alternate exterior angles. (congruent)

c. The angles are on the same side of the transversal, and both are between the parallel lines. The are same-side interior angles. (supplementary)

3 0

3 years ago

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

sertanlavr [38]

Answer:

Step-by-step explanation:

The nth term of arithmetic sequence is $a_n=a_1+d(n-1)$

So:

$a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4$

5 0

3 years ago