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3 years ago

Simplify. Rewrite the expression in the form a^n. A • A^7

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

<h2>Product of Powers Rule</h2><h3>Answer:</h3>

$A^8$

<h3 />

Step-by-step explanation:

Recall the Exponent Law:

$a^m \cdot a^n = a^{m +n}$

This means that if you multiply numbers with exponents and they have the same bases such as, $a$ , the result is the number raised to the sum of exponents.

Solution:

Note: All numbers implicitly have $1$ as their exponent. For example, $8$ is equivalent to $8^1$ .

$A \cdot A^7 \\ A^{1 +7} \\ A^8$

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En Colima se lleva acabo la conferencia sobre la energética eólica a la cual asistieron 120 representantes de Latinoamérica y Su

andriy [413]

The first thing we must do for this case is to see how many representatives from each country attended.
We have then:
Argentines = (1/6) * (120) = 20
Chileans = (1/5) * (120) = 24
Bolivians = (1/4) * (120) = 30
Venezuelans = (1/4) * (120) = 30
Adding we have:
20 + 24 + 30 + 30 = 104
Therefore the number of Americans is:
120-104 = 16
Answer:
16 Americans attended the wind energy conference

4 0

3 years ago

Karen collects bugs. Each of her rare beetles weighs 4 ounces. The total weight of her collection is 32 ounces. How many pounds

aleksandrvk [35]

32/4= 8 so 8 ounces each

6 0

2 years ago

In slope-intercept form, what is the equation of the line passing through the points (-4.26) and (6-4)?

Harlamova29_29 [7]

Answer:

y=-3x+14

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-26)/(6-(-4))

m=-30/(6+4)

m=-30/10

m=-3

y-y1=m(x-x1)

y-26=-3(x-(-4))

y-26=-3(x+4)

y=-3x-12+26

y=-3x+14

5 0

3 years ago

6-10 divide, another onee thank you!!

eduard

Answers:

10.) $\displaystyle \pm{5}$

9.) $\displaystyle 1\frac{1}{2}$

8.) $\displaystyle \pm{1\frac{1}{2}}$

7.) $\displaystyle \pm{1\frac{1}{2}}$

6.) $\displaystyle \pm{\frac{1}{2}}$

Step-by-step explanations:

10.) $\displaystyle \frac{\sqrt{200}}{\sqrt{8}} \hookrightarrow \sqrt{25} \hookrightarrow \frac{\pm{10\sqrt{2}}}{\pm{2\sqrt{2}}} \\ \\ \boxed{\pm{5}}$

9.) $\displaystyle \frac{\sqrt[3]{135}}{\sqrt[3]{40}} \hookrightarrow \sqrt[3]{3\frac{3}{8}} \hookrightarrow \frac{3\sqrt[3]{5}}{2\sqrt[3]{5}} \\ \\ \boxed{1\frac{1}{2}}$

8.) $\displaystyle \frac{\sqrt[4]{162}}{\sqrt[4]{32}} \hookrightarrow \sqrt[4]{5\frac{1}{16}} \hookrightarrow \frac{\pm{3\sqrt[4]{2}}}{\pm{2\sqrt[4]{2}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}$

7.) $\displaystyle \frac{\sqrt{63}}{\sqrt{28}} \hookrightarrow \sqrt{2\frac{1}{4}} \hookrightarrow \frac{\pm{3\sqrt{7}}}{\pm{2\sqrt{7}}} \\ \\ \boxed{\pm{1\frac{1}{2}}}$

6.) $\displaystyle \frac{\sqrt{12}}{\sqrt{48}} \hookrightarrow \sqrt{\frac{1}{4}} \hookrightarrow \frac{\pm{2\sqrt{3}}}{\pm{4\sqrt{3}}} \\ \\ \boxed{\pm{\frac{1}{2}}}$

I am joyous to assist you at any time.

5 0

2 years ago

Find the volume of the cone above in terms of pi<br>

Alinara [238K]

192 pi
good luck :))))

4 0

3 years ago