Simplify 3^8 x 3^4 / 3^2 x 3^8 leaving your answer in index form

3² or 9

Step-by-step explanation:

Step 1: Add exponents

Step 2: Subtract exponents

You should get 3² because of exponent rules. Remember when you multiply exponents you add the powers and when you divide exponents you subtract the powers.

3^2.

Step-by-step explanation:

3^8 is common to numerator and denominator so it simplifies to:

3^4 / 3^2

= 3^(4-2)

= 3^2.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west