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How to raise Powers of Monomials?
To raise a monomial to a certain power:
Step 1: Place the entire monomial inside parentheses, and place the desired power outside the parentheses.
Step 2: Raise the coefficient by the power outside the parentheses.
Step 3: Multiply the power outside the parentheses with each of the powers inside the parentheses. If the expression contains a variable with no exponent, assume the exponent is equal to 1.
Step 4: Multiply answers from Step 1 and Step 2 together.
Example 1: Evaluate (2x4y)3.
(2x4y)323x4X3y1X3= 8x12y3
Example 2: Evaluate (-2a4b6)2.
(-2a4b6)2= (-2)2a4X2b6X2= 4a8b12
log6 X + log6 (x-5) = 1
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