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
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to ______.
Cube of `-1/2` is ______.
The value for (–7)6 ÷ 76 is ______.
am × bm = (ab)m
Solve the following:
2–2 × 2–3
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do these machines do to a piece of chalk?

For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Find a repeater machine that will do the same work as a `(xx 1/8)` machine.
The diameter of the Sun is 1.4 × 109 m and the diameter of the Earth is 1.2756 × 107 m. Compare their diameters by division.
