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
The value of `(2/5)^-2` is ______.
55 × 5–5 = ______.
(–6)0 = –1
Use the properties of exponents to verify that statement is true.
`1/4 (2^n) = 2^(n - 2)`
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
Find x.
`(- 1/7)^-5 ÷ (- 1/7)^-7 = (-7)^x`
If a = – 1, b = 2, then find the value of the following:
ab × ba
If a = – 1, b = 2, then find the value of the following:
ab ÷ ba
Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
