2 years ago

Which expression is equivalent to 2^4 ⋅ 2^−7?

Mathematics

2 answers:

IRISSAK [1]2 years ago

4 0

the answer for this is:

subtract 7 from 4 to get -3

you then have 2^-3

remove the negative exponent by rewriting as 1/(2^3)

Tom [10]2 years ago

3 0

Your answer would be 1/2^3 ( 1 over two to the 3rd power

You might be interested in

Laura picked a crayon randomly from a box, recorded the color, and then placed it back in the box. She repeated the process and

ruslelena [56]

The answer is B. The next crayon Laura picks is NOT red.

8 0

3 years ago

write the number 2 millions, 6 hundred thousands, 3 thousand, 1 hundred, 2 in Standard Form and Expanded Form

Mnenie [13.5K]

In standard form it would be 2,603,102. In expanded form it would be 2,000,000+600,000+3,000+100+2.

5 0

3 years ago

Find the six trigonometric function values for angle ∅ where its adjacent side is -9 and its hypotenuse is 41. (Theta is located

arsen [322]

Check the picture below.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{41^2-(-9)^2}=b\implies \sqrt{1681-81}=b\\\\\\ \sqrt{1600}=b\implies 40=b\\\\
-------------------------------$

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{hypotenuse}{41}}\qquad~~ cos(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{hypotenuse}{41}}\qquad~~ tan(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{adjacent}{-9}}
\\\\\\
csc(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{opposite}{40}}\qquad ~~sec(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{adjacent}{-9}}\qquad ~~cot(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{opposite}{40}}$