Write the following in the form of exponents:
(i) `5^4 xx (-5)^2`
(ii) `15 xx (-15)^(25)`
(iii) `12^5 / (-12)^3`
(iv) `(-p)^(14) / (-p)^7`

Using the laws exponents, simplify each of the following and express in exponential form : 3^7xx\ 3^(-2) (ii) 2^(-7)-:2^(-3) (iii) (5^2)^(-3) (iv) 2^(-3)xx\ (-7)^(-3) (v) (3^(-5))/(4^(-5))

Simplify and write the answer in the exponential form. (i) (2^5 -: 2^8)^5 xx 2^(-5) (ii) (-4)^(-3) xx (5)^(-3) xx (-5)^(-3) (iii) 1/8 xx (3)^(-3) (iv) (-3)64 xx (5/3)^4

Find the product: (i) 3/4 xx 5/7 , (ii) 5/8 xx (-3/7) , (iii) (-2/5) xx 8

Write each of the following in the product form: (i) 15\ a^9b^8c^6 (ii) 30 x^4y^4z^5 (iii) 43 p^(10)q^5r^(15) (iv) 17\ p^(12)q^(20)

Write each of the following percent: (i) 7/(25) (ii) (14)/(625) (iii) 5/8 (iv) 0. 8

Name the property of multiplication shown by each of the following statements: (i) (-12)/(5) xx (3)/(4)=(3)/(4)xx (-12)/(5) (ii) (-8)/(15) xx 1=(-8)/(15) (iii) ((-2)/(3) xx (7)/(8)) xx (-5)/(7) = (-2)/(3) xx ((7)/(8) xx (-5)/(7)) (iv) (-2)/(3) xx 0=0 (v) (2)/(5) xx ((-4)/(5) +(-3)/(10)) = ((2)/(5) xx (-4)/(5)) +((2)/(5)xx (-3)/(10))

Convert each of the following into an improper fraction: 7 1/4 (ii) \ 8 5/7 (iii) 5 3/(10) (iv) 12 7/(15)

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)