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3 years ago

Express each of the following numbers as a power of two (2^3)^4 44444

Mathematics

2 answers:

enot [183]3 years ago

6 0

Answer:

2^12

2^10

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

olya-2409 [2.1K]3 years ago

5 0

Step-by-step explanation:

to the power to the power of - we multiply the powers.

(2³)⁴ = 2¹²

as this is the same as

2³ × 2³ × 2³ × 2³

so, the power is 4×3 = 12

to the power of times to the power of times to the power of ... - we add the powers (if the base is the same).

2²×2²×2²×2²×2² = 2¹⁰

the power is 2+2+2+2+2 or 5×2 = 10

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A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?

Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ $18\frac{1}{6}$ feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = $5\frac{1}{3}\ feet$

Width of the box = $3\frac{3}{4}\ feet$

Perimeter of a rectangle = $2(l+w)$

where $l$ represents length of rectangle and $w$ represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = $2(5\frac{1}{3}+3\frac{3}{4})\ feet$

Simplifying by adding fractions:

⇒ $2(5+3+\frac{1}{3}+\frac{3}{4})\ feet$ (Adding whole numbers and fractions separately)

⇒ $2(8+\frac{1}{3}+\frac{3}{4})$ feet

Whole number 8 can be written as $\frac{8}{1}$

⇒ $2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4})$ feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒ $2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3})$ feet

⇒ $2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12})$ feet

Then we simply add numerators.

⇒ $2(\frac{96+4+9}{12})$ feet

⇒ $2(\frac{109}{12})$ feet

⇒ $2\times \frac{109}{12}$ feet

⇒ $\frac{218}{12}$ feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ $18\frac{2}{12}$ feet

Simplifying fractions to simplest form.

⇒ $18\frac{1}{6}$ feet

Perimeter =⇒ $18\frac{1}{6}$ feet (Answer)

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3 years ago

1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without retur

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Answer:

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Express each of the following numbers as a power of two (2^3)^4 4*4*4*4*4

Express each of the following numbers as a power of two (2^3)^4 44444