Advertisements
Advertisements
प्रश्न
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
Advertisements
उत्तर
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) = ((7)^2 xx z^-3)/(7^-3 xx 10 xx z^-5)`
= `((7)^(2 + 3) xx z^(-3 + 5))/10` ...[∵ am ÷ an = (a)m – n]
= `((7)^5 z^2)/10`
= `7^5/10 z^2`
APPEARS IN
संबंधित प्रश्न
Simplify and write the answer in the exponential form.
`(- 3)^4 xx (5/3)^4`
The value of `(-2/3)^4` is equal to ______.
(–5)–2 × (–5)–3 = (–5)–6
Express as a power of a rational number with negative exponent.
(25 ÷ 28) × 2–7
Find the value of x so that (–2)3 × (–2)–6 = (–2)2x – 1
If `5^(3x - 1) ÷ 25 = 125`, find the value of x.
Find a single machine that will do the same job as the given hook-up.
a (× 24) machine followed by `(xx (1/2)^2)` machine.
Find a single repeater machine that will do the same work as hook-up.
Supply the missing information for diagram.
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
