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3 years ago

6.6 x 1021 in standard notation

Mathematics

1 answer:

Gre4nikov [31]3 years ago

5 0

Answer:

6,600,000,000,000,000,000,000

Step-by-step explanation:

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How do you re-write this using only positive exponents? 3x^-4/3 (1+2x^5/3)

Kay [80]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}
\\\\\\
and\qquad \quad a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\
-------------------------------\\\\
$

$\bf \cfrac{3x^{-\frac{4}{3}}}{3(1+2x^{\frac{5}{3}})}\implies \cfrac{3}{3}\cdot \cfrac{1}{x^{\frac{4}{3}}}\cdot \cfrac{1}{(1+2x^{\frac{5}{3}})}\implies \cfrac{1}{x^{\frac{4}{3}}(1+2x^{\frac{5}{3}})}$

$\bf \cfrac{1}{x^{\frac{4}{3}}+2x^{\frac{5}{3}}x^{\frac{4}{3}}}\implies \cfrac{1}{x^{\frac{4}{3}}+2x^{\frac{5}{3}+\frac{4}{3}}}\implies \cfrac{1}{x^{\frac{4}{3}}2x^{\frac{9}{3}}}\implies \cfrac{1}{x^{\frac{4}{3}}+2x^3}
\\\\\\
\cfrac{1}{\sqrt[3]{x^4}+2x^3}\implies \cfrac{1}{x\sqrt[3]{x}+2x^3}\implies \cfrac{1}{x(\sqrt[3]{x}+2x^2)}$

8 0

4 years ago

If you toss a pair of dice 1,000 times, how many times would you expect to get a sum of 12 as the result?

SIZIF [17.4K]

If you toss a pair of dice 1,000 times, how many times would you expect to get a sum of 12 as the result. When you toss a die there is 1/6 probility that you will get 6 so if you toss another die the probability is the same. The get a sum of 12 the probability is 1/36.

So if you toss 1000 times,

You will get about 1000 (1/36) = 27 times

6 0

3 years ago

The formula for the area of a triangle is A=bh/2. The area of a triangle is 26 cm squared and its base is 12cm. Using algrebra,

Fed [463]

Answer:

4 and 1 / 3 cm

Step-by-step explanation:

Consider the following;

$A = 1 / 2 * Base * Height,\\26 cm^2 = 1 / 2 * ( 12 cm ) * Height$

Let us say that Height = x. If that is so, through algebra, let us solve for x;

$26 cm^2 = 1 / 2 * ( 12 cm ) * x,\\26 cm^2 = 6 cm * x,\\26 cm^2 / 6 cm = x,\\\\x = 26 cm^2 / 6 cm,\\x = 4 and 1 / 3\\\\Conclusion, Height = 4 and 1 / 3 ( cm )$

Solution ⇒ 4 and 1 / 3 cm

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3 years ago

You are creating a model of the Gareway arch. You decide to use a scale of 1/2 yd=1/4in. The Gateway Arch is 310 yards tall. How

Stolb23 [73]

Answer:

77.5

Step-by-step explanation:

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3 years ago

How do you write 7.4411 as a percentage

melomori [17]

Answer: 744.11%

Step-by-step explanation:

Move the decimal point over twice

8 0

3 years ago