Home
Class 8
MATHS
Simplify and express the result in power...

Simplify and express the result in power notation with positive exponent. (i) `(-4)^5 -: (-4)^8` (ii) `(1/(2^3))^2` (iii) `(-3)^4 xx (5/3)^4` (iv) `(3^(-7) -: 3^(-10)) xx 3^(-5)` (v) `2^(-3) xx (-7)^(-3)`

Text Solution

Verified by Experts

(i) `(-4 ) -: (-4)^8`
`(-4)^(5-8)`
`(-4)^-3`
`= 1/-4^3`
(ii) `(1/2^3)^2`
`= (2^-3)^2 = 2^-6`
`= 1/2^6`
(iii) `(-3)^4 xx (5/3)^4`
...
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS AND POWERS

    NCERT|Exercise SOLVED EXAMPLES|9 Videos

  • EXPONENTS AND POWERS

    NCERT|Exercise SOLVED EXAMPLES|9 Videos

  • DIRECT AND INVERSE PROPORTIONS

    NCERT|Exercise SOLVED EXAMPLES|8 Videos

  • FACTORISATION

    NCERT|Exercise EXERCISE 14.4|21 Videos

Similar Questions

Explore conceptually related problems

Simplify and express the result in power notation with positive exponent: (a) "7^(5)times7^(3)-:7^(-4), (b) 6^(11)times6^(3)times6^(-5)

Express 3^(-5)xx3^(-4) as a power of 3 with positive exponent.

Simplify and express the result in exponential form: ( i ) (frac(3)(4))^(7) xx (frac(3)(4))^(5) ( ii ) (frac(-2)(5))^(11) xx (frac(-2)(5))^(4)

Find the products : (i) (-2) xx 3 xx (-4) " " (ii) 2 xx (-5) xx (-6) " " (iii) (-8) xx 3 xx 5 (iv) 8 xx 7 xx (-10) " " (v) (-3) xx (-7) xx (-6)

Simplify and express each of the following in exponential form: [(3/7)^(4)xx(3/7)^(5)]-:(3/7)^(7)

Simplify and express each of the following in exponential form: (i) (2^(3)xx3^(4)xx4)/(3xx32) (ii) (5^(2))^(3)xx5^(4)5^(7)

Simplify : ( i (-4)^(3) (ii) (-3)xx(-2)^(3) (iii) (-3)^(2)xx(-5)^(2)( iv )(-2)^(3)xx(-10)^(3)

Express each of the following rational numbers with a negative exponent : (1/4)^3 (ii) 3^5 (iii) (3/5)^4 {(3/2)^4} (v) {(7/3)^4}^(-3)