(a) Find the value of m for which 5raise to power m – 5 raise to power -3 =5 raised to power3
Answers
Answer:
5^m - 5 ^-3 = 5 ^3
the powers are equal (law)
m -(-3) = 3
m + 3 = 3
m= 3-3
m=0 answer
hope it helps
Answer:
Step-by-step explanation:
IT IS SAID THAT,
5^m -5^(-3) = 5^3
SO, THE NUMBER ON WHICH POWER IS BEING TAKEN IS SAME IN EVERY CASE. SO WE CAN SIMPLY TAKE THE POWERS TO FIND THE ANSWER.
SO,
m - (-3) = 3
m + 3 = 3 ______________( AS - * - IS
EQUAL TO+)
m = 3 - 3 ______________( WHEN A
NUMBER IS
TRANSFERED
TO THE
OTHER SIDE
OF = ITS VALUE
CHANGES)
THEREFORE, m = 0