No.112 Powers in Monomial Calculations
POINT
Calculate powers first, then perform the multiplication.
Simplify the following expressions.
Example
\((-2xy)^3\)
\(3x^2\times(-3xy)^2\)
\((2xy)^2\times\left(-\frac14y\right)^2\)
① \(-8x^3y^3\)
② \(27x^4y^2\)
③ \(\frac14x^2y^4\)
② \(27x^4y^2\)
③ \(\frac14x^2y^4\)
Try it yourself.
Simplify the following expressions.
PRACTICE 01
\((-3ab)^2\)
\(9a^2b^2\)
PRACTICE 02
\(2x^2\times(-2xy)^3\)
\(-16x^5y^3\)
PRACTICE 03
\((3xy)^2\times\left(-\frac13y\right)^2\)
\(x^2y^4\)
PRACTICE 04
\((-2ab)^4\)
\(16a^4b^4\)
PRACTICE 05
\(-2x^3\times(3xy)^2\)
\(-18x^5y^2\)
PRACTICE 06
\((4mn)^2\times\left(-\frac12n\right)^3\)
\(-2m^2n^5\)