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3 years ago

Explain why the product of power property cannot be used to simplify 2^7 *b^7

Mathematics

1 answer:

irina [24]3 years ago

4 0

Answer:

See below.

Step-by-step explanation:

Because the product of power property is only valid when the BASES are equal . For example 3^2 * 3^4 = 3(2+4) = 3^6 - the bases are both 3.

In the example in the question the bases ( 2 and b) are not equal.

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A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied

Yuki888 [10]

Answer:

The median of the group that did not study is less than 80

Step-by-step explanation:

The median of the group that did not study is 79.5

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2 years ago

Wht is the answer for 2/3+2/9

garik1379 [7]

2/3 = 6/9 So,

6/9 + 2/9 = 8/9

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3 years ago

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QUESTION

garri49 [273]

Answer:

Step-by step

What do we already know about the equation?

We know that they EACH bought a hockey puck($17) and 2 shirts

Half of 214 is 107. So they had to have spent 107 separately

So we make the equation and let s represent shirts

2s + 17 = 107

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2s= 90. DIVIDE by 2

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3 0

3 years ago

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With full explanation from the internet like before 3x2-6x+5=0

Elodia [21]

Answer:

$\sf x=1+i\sqrt{\dfrac{2}{3}} \ \quad and \quad \:x=1-i\sqrt{\dfrac{2}{3}}$

Explanation:

Given Expression:

3x² - 6x + 5 = 0

Use the Quadratic Formula:

$\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0$

insert coefficients

$\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}$

$\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}$

$\Longrightarrow \sf x = \dfrac{\left6\right\pm 2\sqrt{6}i}{6}$

$\Longrightarrow \sf x =1 \pm i\dfrac{\sqrt{6} }{3}$

$\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}}, \quad 1-i\sqrt{\dfrac{2}{3}}$

6 0

2 years ago

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find the volume of the smallest right circular cylinder that will hold a sphere whose radius is 4 meters. find the volune of the

Sonja [21]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius\\
------\\
r=4
\end{cases}\implies V=\cfrac{4\pi 4^3}{3}\implies V=\cfrac{256\pi }{3}\\\\
-------------------------------\\\\
\cfrac{sphere}{cylinder}\qquad \cfrac{2}{3}\impliedby ratio~thus\implies \cfrac{2}{3}=\cfrac{\stackrel{sphere}{v}}{\stackrel{cylinder}{v}}
\implies 
\cfrac{2}{3}=\cfrac{\frac{256\pi }{3}}{v}
\\\\\\
v=\cfrac{3\cdot \frac{256\pi }{3}}{2}\implies v=\cfrac{256\pi }{2}\implies v=128\pi$

8 0

3 years ago