Advertisements
Advertisements
Question
Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
Advertisements
Solution
We have, `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
Then, `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
⇒ `(5/3)^(-2 - 14) = (5/3)^(8x)`
⇒ `(5/3)^(-16) = (5/3)^(8x)`
On comparing both sides, we get
16 = 8x
⇒ x = – 2
APPEARS IN
RELATED QUESTIONS
If x be any integer different from zero and m, n be any integers, then (xm)n is equal to ______.
(–9)3 ÷ (–9)8 is equal to ______.
For a non-zero integer x, x7 ÷ x12 is equal to ______.
`[(2/13)^-6 ÷ (2/13)^3]^3 xx (2/13)^-9` = ______.
[2–1 + 3–1 + 4–1]0 = ______.
(–2)0 = 2
Simplify:
`(((-2)/3)^-2)^3 xx (1/3)^-4 xx 3^-1 xx 1/6`
If `(5^m xx 5^3 xx 5^-2)/5^-5 = 5^12`, find m.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
If a = – 1, b = 2, then find the value of the following:
ab – ba
