Solve the expression given below 3^4 * 9^8 * 3^13 *9^19
a. 3^52 * 9^152
b. 3^17 * 9^27
c. 9^52 * 81^152
d. 6^17 * 18^27

Option B is correct.

Step-by-step explanation:

Given:

The given expression is.

We need to simplify the given expression.

Solution:

The given expression as.

Rewrite the expression by shifting the term.

Using product rule

Therefore, option B is correct

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