Advertisements
Advertisements
Question
Compute:
`(12)^-2xx3^3`
Sum
Advertisements
Solution
`(12)^-2xx3^3=(2xx2xx3)^-2xx3^3`
` =(2^2xx3)^-2xx3^3`
`=2^(-2xx2)xx3^-2xx3^3 `
`=2^-4xx3^(-2+3)`
`=2^-4xx3^1`
`=3/2^4=3/(2xx2xx2xx2)`
` = 3/16`
shaalaa.com
More About Exponents
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Compute:
`1^8xx3^0xx5^3xx2^2`
Compute:
`(4^7)^2xx(4^-3)^4`
Compute:
`(625)^(-3/4)`
Simplify:
`8^(4/3)+25^(3/2)-(1/27)^(-2/3)`
Evaluate:
`(-5)^0`
Evaluate:
`9^0+9^-1-9^-2+9^(1/2)-9^(-1/2)`
Simplify:
`(36"x"^2)^(1/2)`
Simplify:
`(125"x"^-3)^(1/3)`
Simplify and express as positive indice:
(xy)(m-n).(yz)(n-l).(zx)(l-m)
Prove that:
`((x^a)/x^b)^(1/(ab))((x^b)/x^c)^(1/(bc))(x^c/x^a)^(1/(ca))=1`
