raise the quanity in parentheses to the indicated exponent, and simplify the resulting expression (-3x^6y)^3
-27x^9y^3
To raise a quantity inside parentheses to an exponent, you need to apply the exponent to every term within the parentheses. In this case, we have (-3x^6y)^3.
To simplify this expression, we will raise each term inside the parentheses to the power of 3 and multiply them.
First, let's raise -3 to the power of 3. The result is -27.
Next, let's raise (x^6) to the power of 3. To do this, we multiply the exponents: 6 * 3 = 18. So, x^6 raised to the power of 3 is x^18.
Finally, let's raise y to the power of 3. The result is y^3.
Multiplying these results together, we get (-27x^18y^3). This is the simplified expression for (-3x^6y)^3.