Advertisements
Advertisements
प्रश्न
Find x so that `(2/9)^3 xx (2/9)^-6 = (2/9)^(2x - 1)`
Advertisements
उत्तर
Given, `(2/9)^3 xx (2/9)^-6 = (2/9)^(2x - 1)`
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
Then, `(2/9)^(3 - 6) = (2/9)^(2x - 1)`
⇒ `(2/9)^-3 = (2/9)^(2x - 1)`
On comparing, we get
–3 = 2x – 1
⇒ –2 = 2x
⇒ x = –1
APPEARS IN
संबंधित प्रश्न
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to ______.
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
am × bm = (ab)m
Solve the following:
2–2 × 2–3
Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
If `(5^m xx 5^3 xx 5^-2)/5^-5 = 5^12`, find m.
Find a single machine that will do the same job as the given hook-up.
a (× 24) machine followed by `(xx (1/2)^2)` machine.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
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.
