Which of the following is an equivalent expression to the expression “T? a a

Mathematics

1 answer:

ikadub [295]3 years ago

3 0

Answer:

a^1/12

Step-by-step explanation:

a ^1/3 / a^1/4 = a ^ (1/3 - 1/4) = a^ 1/12

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What is the value of the expression 3.9 times 10^5 /1.3 times 10^2

elena-s [515]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
\cfrac{3.9\times 10^5}{1.3\times 10^2}\implies \cfrac{3.9}{1.3}\times \cfrac{10^5}{10^2}\implies 3\times 10^5\cdot 10^{-2}\implies 3\times 10^{5-2}
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3\times 10^3\implies 3.0\times 10^3$

5 0

3 years ago

What are the values that satisfy the trigonometric equation for: 0≤q≤2π ?<br> sin(∅)+tan(−∅)

Mrac [35]

Answer:

First choice: 0, pi

Step-by-step explanation:

I am assuming the equation is

$\sin q + \tan (-q) = 0$

(the =0 part is missing in the original problem)

$\sin q + \tan (-q) = 0\\\sin q + \frac{\sin (-q) }{\cos (-q)} = 0\\\sin q + \frac{-\sin q}{\cos q}=0\\\sin q = \frac{\sin q}{\cos q}\\\sin q \cdot \cos q = \sin q\,\,,\,\,\, 0\leq q \leq 2\pi\\\implies\\\cos q = 1 \implies q=\{0, 2\pi\}\\\mbox{or}\\\sin q = 0 \implies q=\{0, \pi, 2\pi\}\\\implies\\q=\{0,\pi,2\pi\}$