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
Which of the following is not the reciprocal of `(2/3)^4`?
(–5)–2 × (–5)–3 = (–5)–6
Find the value of n.
`6^n/6^-2 = 6^3`
An electron’s mass is approximately 9.1093826 × 10–31 kilograms. What is this mass in grams?
What happens when 1 cm worms are sent through these hook-ups?
Find a single repeater machine that will do the same work as hook-up.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Supply the missing information for diagram.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
If a = – 1, b = 2, then find the value of the following:
ab + ba
