Simplify Expressions

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The powers are -9 and -3 , but positive exponents only .

Oct 3rd, 2015


I rewrite this using ^ as a symbol of rising to power. Also I use enough parenthesis:


Consider that w = w^1 and use the corresponding law:

w^(-9)*w^(-3)*w = w^(-9)*w^(-3)*w^1 = w^(-9-3+1) = w^(-11).

The exponent is negative. We can make it positive sending w^11 to the denominator:

w^(-11) = 1/(w^11).

Another option is to change the base to 1/w:

w^(-11) = [w^(-1)]^11 = (1/w)^11. Use more suitable option.

Please ask if something is unclear.
Sep 15th, 2015

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