4 years ago

Select the equivalent expression. A, B or C?

Mathematics

1 answer:

Alina [70]4 years ago

6 0

Answer:

Step-by-step explanation:

The relevant rules of exponents are ...

(a^b)^c = a^(bc)

a^-b = 1/a^b

$\left(\dfrac{2^{-10}}{4^2}\right)^7=\dfrac{2^{(-10)(7)}}{4^{(2)(7)}}=\dfrac{2^{-70}}{4^{14}}\\\\=\boxed{\dfrac{1}{2^{70}\cdot 4^{14}}}$

You might be interested in

Factor completely 10b 2 +17b + 3

mr Goodwill [35]

Hope this helps you.

4 0

3 years ago

Tomas makes a balloon sculptures at a circus. In 180 minutes, he uses 253 balloons to make 36 identical balloon sculptures.

Kipish [7]

$180\ minutes\ \ \ \rightarrow\ \ \ 252\ balloons\\\\1\ minute\ \ \ \rightarrow\ \ \ x\ balloons\\\\x\cdot 180=1\cdot 252\ \ \ \Rightarrow\ \ \ x= \frac{252}{180}= \frac{36\cdot7}{36\cdot5} = \frac{7}{5} =1.4\\\\Ans.\ \ 1.4\ balloons\ per\ one\ minute.\\\\-----------------\\\\ 1\ minute\ \ \ \rightarrow\ \ \ 1.4\ balloons\\\\10\ minutes\ \ \ \rightarrow\ \ \ x\ balloons\\\\x\cdot 1=10\cdot1.4\\\\x=14\\\\Ans.\ \ 14\ balloons\ per\ 10\ minutes.$

7 0

3 years ago

mr yeo had 32litre of water.he used 3/8 of it to fill up a fish tank.he used 1/4 of the remaining water to water the plants. how

aleksandr82 [10.1K]

So, Mr Yeo has 32 litres of water to begin, by taking away the 3/8 (12 litres) you get 20 litres, dividing that by 4 gives you 5litres.

Your answer is then 5 Litres

5 0

3 years ago

Read 2 more answers

Can someone please explain how to do this multi step problem? Annie and Dustin took a beginner's programming course over several

Anarel [89]

Depends on what time their bedtime is, like if their bedtime is at 6:00, and they have to wake up at 5:00 then their waking hours would be 11 hours.

3 0

3 years ago

Solve(100 points to right answer)If you get it wrong or type random stuff you will be reported

anygoal [31]

Answer:

24 ft

Step-by-step explanation:

Hypotenuse = √9²+16²=√81+256=√400=20ft

the upper side of the stuff = 4 ft

total = 20+4=24

5 0

3 years ago