Advertisements
Advertisements
Question
The value of [2–1 × 3–1]–1 is ______.
Advertisements
Solution
The value of [2–1 × 3–1]–1 is 6.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `[2^-1 xx 3^-1]^-1 = (1/2 xx 1/3)^-1`
= `(1/6)^-1`
= 6
Hence, [2–1 × 3–1]–1 = 6
APPEARS IN
RELATED QUESTIONS
Simplify :
(– 4)5 × (– 4)-10
`((-7)/5)^-1` is equal to ______.
For a non-zero integer x, x7 ÷ x12 is equal to ______.
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
The value of `1/4^-2` is equal to 16.
The value of 5–2 is equal to 25.
Simplify:
(25 ÷ 28) × 2–7
Find the value of x so that (2–1 + 4–1 + 6–1 + 8–1)x = 1
Planet A is at a distance of 9.35 × 106 km from Earth and planet B is 6.27 × 107 km from Earth. Which planet is nearer to Earth?
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
