Simplify the expression w3w2 y3 547x54rx30 4r3 b2c33 q2q6So

Simplify the expression. w^3/w^2 y^3 54(7x^-5/(4rx)^-3)^0 - (-4r^3) (b^-2/c^3)^-3 -(q)^2(-q)^6

Solution

Use the exponential properties: a^m/a^n = a^(m-n) ; 1/a^m = a^-m ; a^0 =1

1. w^3/w^2y^3

w^(3-2)/y^3 = w/y^3 = wy^-3

2. 54 { 7x^-5/(4rx)6-3) }^0

54*1 = 54

3. -( -4r^5)^3

= - ( -64*r^(15*3))

= 64r^15

4. { b^-2/c^3 }^-3

=b^(-2*-3)/c^(3*-3)

= b^6/c^9

= b^6c^-9

5. - (q)^2(-q)^6

= - q^2*q^6

= -q^(2+6)

= -q^8

6. { (3k)^0k^-3}/k^6h^-9

= 1*k^-3/k^6*h^-9

= k^(-3 -6)/h^-9

= k^-9/h^-9

= k^-9*h^9

7 . ( b^2/c^-3)^3

= b^(2*3)/(c^(-3*3)

= b^6/c^-9

= b^6c^9