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2 years ago

Last question and then I’ll take care of the rest on my own ^^^^

Mathematics

1 answer:

Bond [772]2 years ago

6 0

Answer:

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

a^-b = 1/a^b

Using these rules, we can simplify the expression as follows:

(5^-3)(2^2)(5^6)/((2^3)(5^2)) = (5^(-3+6-2))(2^(2-3)) = (5^1)(2^-1)

= 5/2

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Find [-4/5]×3/7×15/16×[-14/9]

dangina [55]

The given expression is $\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})$ .

We need to simplify the given expression.

<h3>What is a rational number?</h3>

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers $(\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))$

$=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))$

$=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))$

$=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}$

Therefore, the simplified value of the given expression is $\frac{1}{2}$ .

To learn more about the rational numbers visit:

brainly.com/question/17450097.

#SPJ1

8 0

2 years ago

Procedure for this problem -8+(-24)

lana66690 [7]

Answer: - 32

Step-by-step explanation:

-8 + (-24)

Infront of the Positive is a one.

-8 +1 (-24)

If we follow order of operations which is parentheses, exponents, multiply divide, add, and subtract, we can see we need to multiply/ distribute first. And a positive times a negative is a negative.

-8 -24

Now we put the two numbers together.

-32

This is the answer

6 0

3 years ago

Amelia machine changes one red token into three white tokens and one white token into two red tokens. amelia has three red token

eimsori [14]

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2 years ago

lily pads increase by 25% very 10days. if a pond starts 22 lilly pads, how many will there be after 50 days

Mars2501 [29]

Step-by-step explanation:

This is an exponential increase. As represented in the picture, approximately 77 lilly pads will be produced after 50 days when there is initial of 22.

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2 years ago

A cube shaped terrarium has a volume of 27/64 cubic feet. What is the length of its sides?

Dafna1 [17]

A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to $s^3$ where s is the side length.

$s^3 = \frac{27}{64}$

To solve for s, take the cube root of both sides.

$\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }$

$s= \frac{3}{4}$ feet

8 0

3 years ago