Advertisements
Advertisements
Question
The value of `1/4^-2` is ______.
Options
16
8
`1/16`
`1/8`
Advertisements
Solution
The value of `1/4^-2` is 16.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `1/4^-2 = 1/(1/4^2)`
= `1/(1/16)`
= 1 × 16
= 16
APPEARS IN
RELATED QUESTIONS
`(-5/7)^-5` is equal to ______.
The value of [1–2 + 2–2 + 3–2 ] × 62 is ______.
`a^m = 1/a^-m`
The expontential form for `(-2)^4 xx (5/2)^4` is 54.
The value of 5–2 is equal to 25.
Solve the following:
2–2 × 2–3
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?
Find a single repeater machine that will do the same work as hook-up.

Supply the missing information for diagram.

