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Volgvan
3 years ago
7

4^3 ⋅ 4^4 ⋅ 4^8 divided by 4^5 ⋅ 4

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

Step-by-step explanation:

4^3 ⋅ 4^4 ⋅ 4^8      ÷    4^5  . 4

64 . 256 . 65536 ÷   1024 . 4

   1073741824      ÷     4096  

                  =262,144  

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3 years ago
What is 1/7 divided by 252 ?
miskamm [114]

Answer:

In decimal form: 0.00056689342 (If wanted to round to nearest thousandth, 0.001)

In fraction form: \frac{1}{1764} or \frac{28344671}{50000000000}

Step-by-step explanation:

\frac{1}{7}\div \:252=\frac{1}{1764}

\mathrm{Convert\:element\:to\:fraction}:\quad \:252=\frac{252}{1}\\=\frac{1}{7}\div \frac{252}{1}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{1}{7}\times \frac{1}{252}

\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\=\frac{1\times \:1}{7\times \:252}

\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1\\=\frac{1}{7\times \:252}

\mathrm{Multiply\:the\:numbers:}\:7\times \:252=1764\\=\frac{1}{1764}

Hopes this helps you!

Have a wonderful night!

Happy Monday!

5 0
3 years ago
Evaluate $\dfrac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}$.
Pavlova-9 [17]
<h3>Answer:  4</h3>

========================================================

Work Shown:

\frac{2\sqrt{72}}{\sqrt{8}+\sqrt{2}}\\\\\frac{2\sqrt{36*2}}{\sqrt{4*2}+\sqrt{2}}\\\\\frac{2\sqrt{36}*\sqrt{2}}{\sqrt{4}*\sqrt{2}+\sqrt{2}}\\\\\frac{2*6*\sqrt{2}}{2*\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{2\sqrt{2}+\sqrt{2}}\\\\\frac{12\sqrt{2}}{3\sqrt{2}}\\\\\frac{12}{3}\\\\4

Note in step 2, I factored each number in the square root to pull out the largest perfect square factor. From there, I used the rule that \sqrt{A*B} = \sqrt{A}*\sqrt{B} to break up the roots.

8 0
2 years ago
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Angelina_Jolie [31]

Answer:

  A.  215x + 780 = 2500

Step-by-step explanation:

Multiply both sides of the equation by 100 to eliminate the decimal fractions.

  (2.15×100)x + 7.8×100 = 25×100

  215x + 780 = 2500

6 0
3 years ago
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