3 years ago

Find an expression equivalent to the one shown below.

Mathematics

1 answer:

liberstina [14]3 years ago

7 0

Answer:

I believe it would be A. 1

Step-by-step explanation:

$(8^{3} )^{9}$ ÷ $8^{27}$ = 1

hope this helps

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<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5E%7Bx%20%2B%201%7D%20%20-%202%5E%7Bx%20-%201%7D%20" id="TexFormula1" title

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Note the derivative rule

$\\ \boxed{\star\bf \dfrac{d}{dx}(x^n)=nx^{n-1}}$

Let's see

$\\ \rm\Rrightarrow \dfrac{d}{dx}(2^{x+1}-2^{x-1})$

$\\ \rm\Rrightarrow \dfrac{d}{dx}2^{x+1}-\dfrac{d}{dx}2^{x-1}$

$\\ \rm\Rrightarrow (x+1)2^{x+1-1}-(x-1)2^{x-1-1}$

$\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^{x-2}$

$\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^x/2^2$

$\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^x2^{-2}$

$\\ \rm\Rrightarrow 2^x(x+1-(x-1)2^{-2})$

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2 years ago

If the sin 60° is square root 3 over 2, then the cos ____° = _____.

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