Option B is the right answer
Step-by-step explanation:
Given expression is:
The exponent properties are used to solve these type of questions,
One of the property states that if an exponent is applied to a fraction, it can be applied to the numerator and denominator separately.
so,
for the given expression, the exponent 8 will be applied to 2 and 3 separately
Hence,
Option B is the right answer
Keywords: Exponents, fractions
Learn more about exponents at:
#LearnwithBrainly
Answer:
-¹²/₅
Step-by-step explanation:
Let cos a = -⁵/₁₃
Then tan a = sin a/cos a
= [√(1 - cos²a)]/cos a
= {√[1 - (-⁵/₁₃)²]}/(-⁵/₁₃)
= -[√(1 - ²⁵/₁₆₉)] × ¹³/₅
= -[(√(¹⁴⁴/₁₆₉ )] × ¹³/₅
= -¹²/₁₃ × ¹³/₅
= -¹²/₅
tan(arccos (-⁵/₁₃)) = -¹²/₅
The diagram shows the 2nd quadrant of a circle with radius 13, cos a = -⁵/₁₃, and tan a = ¹²/₍₋₅₎ = -¹²/₅.
