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 integer different from zero and m be any positive integer, then x–m is equal to ______.
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is ______.
50 = ______.
(–7)–4 × (–7)2 = (–7)–2
Solve the following:
100–10
Express as a power of a rational number with negative exponent.
(25 ÷ 28) × 2–7
Find the multiplicative inverse of (–7)–2 ÷ (90)–1.
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.
- Make a table showing the insect’s location for the first 10 hops.
- Where will the insect be after n hops?
- Will the insect ever get to 1? Explain.
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do these machines do to a piece of chalk?
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
