how to raise powers of monomialsto raise a

Question

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
2³x^4X3y^1X3
= 8x¹²y³

Example 2: Evaluate (-2a⁴b⁶)².

(-2a⁴b⁶)²
= (-2)2a⁴X2b⁶X²
= 4a⁸b¹²