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Maths Exercices

Powers of monomials

To simplify the power of monomials, you must either find the power of a power or find the power of a product. Use the properties of exponents, which are stated below:

  • To find the power of a power, the property of exponents states that (xm)n=xmn

    (x2)5=x10   (w2)3=w6   (23)2=26=64

  • To find the power of a product, the property of exponents states that (xy)m=xmym
(3x5)2=32x10=9x10
 
(-2y3)2=(-2)2y6=4y6
 
(w2z)3=w6z3