Advertisements
Advertisements
प्रश्न
55 × 5–5 = ______.
Advertisements
उत्तर
55 × 5–5 = 1.
Explanation:
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
∴ 55 × 5–5 = (5)5 – 5
= (5)0
= 1 ...[∵ a0 = 1]
Hence, 55 × 5–5 = 1
APPEARS IN
संबंधित प्रश्न
Simplify and write the answer in the exponential form.
(25 ÷ 28)5 × 2-5
ap × bq = (ab)pq
The value of 5–2 is equal to 25.
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.
An electron’s mass is approximately 9.1093826 × 10–31 kilograms. What is this mass in grams?
Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3–t. What fraction of substance remains after 7 half-lives?
What happens when 1 cm worms are sent through these hook-ups?

Find a repeater machine that will do the same work as a `(xx 1/8)` machine.
By what number should (–8)–3 be multiplied so that the product may be equal to (–6)–3?
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
