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ale4655 [162]
2 years ago
8

What is 2 to the power of -2? My teacher said it does not equal -4… does it equal positive 4??

Mathematics
2 answers:
Serga [27]2 years ago
6 0

         \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

    <em>What is 2 to the power of -2?</em>

<em />

<em>    </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

   

Let's look at the last property of exponents - \bold{\#7 - negative\:exponents}

                                    \Large\text{$a^{-n}=\displaystyle\frac{1}{a^n}$}

So if we have a number with a negative exponent, we flip it over.

According to Property #7,

      \Large\text{2^{-2}=\displaystyle\frac{1}{2^2} =\frac{1}{4}$}

<h3>Good luck with your studies.</h3>

                    \rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{60}{1}

mihalych1998 [28]2 years ago
3 0

Answer:

1/4

Step-by-step explanation:

2 to the power of -2 would be 1/4.

This is because 2 to the power of -1 would be 1/2. And the power of 2 would square the 2 as the denominator making it 1/4.

The reason -1 makes the 2 turn into a fraction is that to the power of 2 means 2x2, to the power of one means 2, The power of zero would therefore divide by 2 so 2/2 = 1 and so 2 to the power of -1 would be 1/2.

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Answer:

Abel receives $60, and Cedric receives $120

Step-by-step explanation:

Let Abel's share = A

Let Cedric's share = C

we are given the following

A + C = 180  - - - - - (1)   (Abel and Cedric will share a total of $180)

A = \frac{C}{2}\ - - - - - - - (2) (Abel will receive half as much as Cedric. )

from equation 2:

A = \frac{C}{2}\\ C = 2A\ - - - - - - (3)

putting this value of C in eqn (3) into eqn (1)

A + (2A) = 180

3A = 180

∴ A = 180 ÷ 3 = 60

to find C, let us replace the value of A in eqn (3) with 60

C = 2A - - - - (3)

C = 2 × 60

C = 120

Therefore, Abel receives $60, and Cedric receives $120

5 0
3 years ago
Help algebra 2 please
34kurt

Answer:

option 4

Step-by-step explanation:

(f*g)(x) =(x² + x+ 1)*(x² - x -1)

           = x²*(x² - x -1)   + x(x² - x -1) + 1*( x² - x -1)

            = x²*x² - x²*x -x²*1   + x*x² - x*x -x*1 + x² - x -1

            = x⁴ - x³ - x² +x³ - x²  - x  + x² - x -1

           = x⁴  - x³ + x³  - x² - x² + x² - x - x - 1

       = x⁴ - x² - 2x - 1

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30/100 = x/1.7

So now you cross multiply doing 30X17=510
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Joel can read around 16 sentences per minute of his current novel. He wants to finish his reading before the movie comes out nex
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7/10 = 42/60 so it comes out to 2.7 hours or 2 hrs, 42 min

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