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barxatty [35]
2 years ago
11

What is the product rule for exponents? What is the quotient rule for exponents?

Mathematics
2 answers:
Fittoniya [83]2 years ago
3 0
Product Rule:
x^{a}  \times x^{b} = x^{(a+b)}


Quotient Rule:
\frac{x^{a}}{x^{b}} = x^{(a-b)}
Gemiola [76]2 years ago
3 0

Answer:

x^{a} \times x^{b} = x^{(a+b)}

I forgot the other one

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Pleaseeee help i don't understand how to do this
den301095 [7]

Answer:

x=\frac{5}{k}

Step-by-step explanation:

Given expression is,

\text{log}_{3^k}243=x

By using the law of logarithm,

(3^k)^x=243

3^{kx}=243

3^{kx}=3^5

By comparing exponents on both the sides of the equation,

kx=5

x=\frac{5}{k}

Therefore, x=\frac{5}{k} will be the answer.

7 0
2 years ago
A sphere and a cube have equal surface areas. The length of one edge of the cube is 1.11 meters. What is the radius of the spher
Nady [450]

Answer:

  0.767 m

Step-by-step explanation:

The area of a cube of edge length s is given by ...

  A = 6s^2

The area of a sphere of radius r is given by ...

  A = 4πr^2

When these two are equal, we have ...

  6s^2 = 4πr^2

  r^2 = 6s^2/(4π)

  r = s·√(3/(2π)) ≈ s·0.690988

The radius of the sphere is about ...

  r ≈ 0.690899×1.11 m

  r ≈ 0.767 m . . . . approximate sphere radius

3 0
3 years ago
What does 3.6÷(-9.8) equal?
valentinak56 [21]

Answer:

-0.36734693877

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The density of a American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circ
LuckyWell [14K]

Check the picture below.

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=4.5 \end{cases}\implies 4.5=2\pi r\implies \cfrac{4.5}{2\pi }=r \\\\[-0.35em] ~\dotfill

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} h=8\\ r=\frac{4.5}{2\pi } \end{cases}\implies V=\pi \left( \cfrac{4.5}{2\pi } \right)^2(8)\implies V=\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \cdot \cfrac{20.25}{\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}\underset{\pi }{\begin{matrix} \pi^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }}(\stackrel{2}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}})

\bf V=\cfrac{40.5}{\pi }~cm^3~\hspace{9em} \stackrel{\textit{since density is }752kg~per~cm^3}{density\implies 752\left( \cfrac{40.5}{\pi } \right)}\qquad \approx ~~9694

8 0
3 years ago
Which statement BEST describes the domain of function?
mart [117]

Answer:

12

Step-by-step explanation:

hhahhahhahhaaahahaah

3 0
2 years ago
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