Powers of Monomials
When you have an exponent raised to another exponent (power of a power), simply multiply the two exponents together.
- (32)2 = 3(2*2) = 34
- (52)3 = 56, since 2*3 =6
- (x3)5 = x15
When you are working with multiplying numbers/variables together and then taking that product to an exponent (power of a product), take the exponent to all the terms being multiplied.
- (3x)5 = 35x5
- (abc)-3 = a-3b-3c-3
When you combine the two methods, power of a power and power of a product, you can find the power of a monomial.
- (2x3)4 = 24x3*4 = 24*x12 = 16x12
- (-1x5)2 = (-1)2x5*2 = 1x10 = x10
- (3ab9)2 = 32a2b9*2 = 9a2b18
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