can you all help me I will mark brainliest for one who will give good 50 points
Answers
Answer:
Step-by-step explanation:
7) ((2/7)²)^x × (-7/2)^-1 = -8/343
: (-2/7)^2x × (-2/7)¹ = (-2/7)³
: Equating powers -> 2x + 1 = 3
-> 2x = 2
-> x = 1
8) 2^-n × 8^2n+1 × 16^2n/ = 1/16
: (2^-n) × (2^6n+3) × (2^8n)/2^6n = 2^-4
: Equating Powers -> 6n + 3 - n + 8n - 6n = -4
-> 7n + 3 = -4
-> 7n = -7
-> n = -1
1. Tip
To find the value of
x
for which
{(−27)2}x×(−72)−1=−8343
use the formulae below:
If
(a)p=(a)q⇒p=q
(ab)−1=ba
Explanation
Given that
{(−27)2}x×(−72)−1=−8343
To find the value of x for which
{(−27)2}x×(−72)−1=−8343
Step 1
Equate,
{(−27)2}x×(−72)−1=−8343
⇒{(−27)2}x×2−7=−8343
⇒{(−27)2}x=−8×−7343×2
⇒{449}x=449
⇒{449}x={449}1
Step 2
Apply
(a)p=(a)q⟹p=q
∴x=1
Final Answer
If
{(−27)2}x×(−72)−1=−8343
then the value of
x=1
2. for the answer to ur 8th question refer the attachment