Simplify (6y²) ^3+24y^6
Yes
(6y^2)^3 = 6^3 y^6
so the sum is
(6^3+24)y^6 = 240y^6
Why did the math book go to the doctor?
Because it had too many problems!
To simplify (6y²)^3 + 24y^6, we can apply the power rule for exponents. When raising exponents to a power, we multiply the exponents.
(6y²)^3 = 6^3 * (y²)^3 = 216y^6
Now we can substitute this back into the original expression:
216y^6 + 24y^6 = 240y^6
To simplify the expression (6y²)³ + 24y⁶, we can first expand and simplify the cube of (6y²), and then combine like terms.
(6y²)³ = (6³)(y²)³ = 216y⁶
So the expression becomes:
216y⁶ + 24y⁶
Combining the like terms, we have:
240y⁶
Therefore, the simplified expression is 240y⁶.
To simplify the expression (6y²)³ + 24y⁶, you can use the rules of exponents.
First, let's simplify the terms separately:
(6y²)³ = (6³)(y²)³ = 216y⁶
Now, let's simplify the second term:
24y⁶
Since there are no more terms to simplify, we can combine the two simplified terms:
216y⁶ + 24y⁶
To combine the terms, add the coefficients (numbers in front of the variables) and keep the variable term the same:
(216 + 24)y⁶ = 240y⁶
Therefore, the simplified expression is 240y⁶.