Which expression is equivalent to 94 94 310 95 94 310 (9².3³) ²₂

Mathematics

1 answer:

a_sh-v [17]1 year ago

5 0

Answer:

Step-by-step explanation: The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

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Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

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Find the exact value of cot 7pi/4 & sec13pi/6 including quadrant location

Gennadij [26K]

First we will convert those radian angles to degrees, since my mind works better with degrees. Let's work one at a time. First, $\frac{7 \pi }{4} * \frac{180}{ \pi }=315$ . If we start at the positive x-axis and measure out 315 we end up in the 4th quadrant with a reference angle of 45 with the positive x-axis. The side across from the reference angle is -1, the side adjacent to the angle is 1, and the hypotenuse is sqrt2. The cotangent of this angle, then is 1/-1 which is -1. As for the second one, converting radians to degrees gives us that $\frac{13 \pi }{6} * \frac{180}{ \pi } =390$ . Sweeping out that angle has us going around the origin more than once and ending up in the first quadrant with a reference angle of 30° with the positive x-axis. The side across from the angle is 1, the side adjacent to the angle is √3, and the hypotenuse is 2. Therefore, the secant of that angle is 2/√3.