Advertisements
Advertisements
Question
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
Advertisements
Solution
`(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
RELATED QUESTIONS
3–2 can be written as ______.
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to ______.
`(3/4)^5 ÷ (5/3)^5` is equal to ______.
Solve the following:
2–2 × 2–3
Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do you think the value of 60 is?
Find a single repeater machine that will do the same work as hook-up.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
