How to raise powers of monomials, Mathematics

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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)3
23x4X3y1X3
= 8x12y3

Example 2: Evaluate (-2a4b6)2.

(-2a4b6)2
= (-2)2a4X2b6X2
= 4a8b12


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